diff --git a/.github/workflows/sims.yml b/.github/workflows/sims.yml
index d0b4b0fe7f6c..9e750db4c487 100644
--- a/.github/workflows/sims.yml
+++ b/.github/workflows/sims.yml
@@ -51,7 +51,7 @@ jobs:
         with:
           path: ~/go/bin
           key: ${{ runner.os }}-go-runsim-binary
-      - name: test nondeterminism
+      - name: test-sim-nondeterminism
         run: |
           make test-sim-nondeterminism
 
@@ -97,9 +97,9 @@ jobs:
         with:
           path: ~/go/bin
           key: ${{ runner.os }}-go-runsim-binary
-      - name: test after import
+      - name: test-sim-after-import
         run: |
-          make test-sim-import-export
+          make test-sim-after-import
 
   test-sim-multi-seed-short:
     runs-on: ubuntu-latest
diff --git a/CHANGELOG.md b/CHANGELOG.md
index ce320d48f65d..162c3bbea90a 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -99,6 +99,7 @@ types (eg. keys) to the `auth` module internal amino codec.
 * (rest) [\#5906](https://github.com/cosmos/cosmos-sdk/pull/5906) Fix an issue that make some REST calls panic when sending
 invalid or incomplete requests.
 * (x/genutil) [\#5938](https://github.com/cosmos/cosmos-sdk/pull/5938) Fix `InitializeNodeValidatorFiles` error handling.
+* (x/staking) [\#5949](https://github.com/cosmos/cosmos-sdk/pull/5949) Skip staking `HistoricalInfoKey` in simulations as headers are not exported.
 * (x/auth) [\#5950](https://github.com/cosmos/cosmos-sdk/pull/5950) Fix `IncrementSequenceDecorator` to use is `IsReCheckTx` instead of `IsCheckTx` to allow account sequence incrementing.
 
 ### State Machine Breaking
diff --git a/simapp/app.go b/simapp/app.go
index e9c32a713918..90e75741399b 100644
--- a/simapp/app.go
+++ b/simapp/app.go
@@ -236,7 +236,7 @@ func NewSimApp(
 	// During begin block slashing happens after distr.BeginBlocker so that
 	// there is nothing left over in the validator fee pool, so as to keep the
 	// CanWithdrawInvariant invariant.
-	app.mm.SetOrderBeginBlockers(upgrade.ModuleName, mint.ModuleName, distr.ModuleName, slashing.ModuleName, evidence.ModuleName)
+	app.mm.SetOrderBeginBlockers(upgrade.ModuleName, mint.ModuleName, distr.ModuleName, slashing.ModuleName, evidence.ModuleName, staking.ModuleName)
 	app.mm.SetOrderEndBlockers(crisis.ModuleName, gov.ModuleName, staking.ModuleName)
 
 	// NOTE: The genutils moodule must occur after staking so that pools are
diff --git a/simapp/sim_test.go b/simapp/sim_test.go
index 6053ff83cc75..bcfb64398717 100644
--- a/simapp/sim_test.go
+++ b/simapp/sim_test.go
@@ -148,6 +148,7 @@ func TestAppImportExport(t *testing.T) {
 		{app.keys[staking.StoreKey], newApp.keys[staking.StoreKey],
 			[][]byte{
 				staking.UnbondingQueueKey, staking.RedelegationQueueKey, staking.ValidatorQueueKey,
+				staking.HistoricalInfoKey,
 			}}, // ordering may change but it doesn't matter
 		{app.keys[slashing.StoreKey], newApp.keys[slashing.StoreKey], [][]byte{}},
 		{app.keys[mint.StoreKey], newApp.keys[mint.StoreKey], [][]byte{}},
diff --git a/store/types/utils.go b/store/types/utils.go
index 8d4c83735460..8cfc2921eab5 100644
--- a/store/types/utils.go
+++ b/store/types/utils.go
@@ -38,20 +38,17 @@ func DiffKVStores(a KVStore, b KVStore, prefixesToSkip [][]byte) (kvAs, kvBs []t
 			kvB = tmkv.Pair{Key: iterB.Key(), Value: iterB.Value()}
 			iterB.Next()
 		}
-		if !bytes.Equal(kvA.Key, kvB.Key) {
-			kvAs = append(kvAs, kvA)
-			kvBs = append(kvBs, kvB)
-			continue // no need to compare the value
-		}
 
 		compareValue := true
 		for _, prefix := range prefixesToSkip {
 			// Skip value comparison if we matched a prefix
-			if bytes.Equal(kvA.Key[:len(prefix)], prefix) {
+			if bytes.HasPrefix(kvA.Key, prefix) || bytes.HasPrefix(kvB.Key, prefix) {
 				compareValue = false
+				break
 			}
 		}
-		if compareValue && !bytes.Equal(kvA.Value, kvB.Value) {
+
+		if compareValue && (!bytes.Equal(kvA.Key, kvB.Key) || !bytes.Equal(kvA.Value, kvB.Value)) {
 			kvAs = append(kvAs, kvA)
 			kvBs = append(kvBs, kvB)
 		}
diff --git a/x/staking/alias.go b/x/staking/alias.go
index 1b7c78772f73..3568daebe2cc 100644
--- a/x/staking/alias.go
+++ b/x/staking/alias.go
@@ -12,7 +12,6 @@ const (
 	DefaultParamspace                  = keeper.DefaultParamspace
 	ModuleName                         = types.ModuleName
 	StoreKey                           = types.StoreKey
-	TStoreKey                          = types.TStoreKey
 	QuerierRoute                       = types.QuerierRoute
 	RouterKey                          = types.RouterKey
 	DefaultUnbondingTime               = types.DefaultUnbondingTime
diff --git a/x/staking/genesis.go b/x/staking/genesis.go
index 8a2ecce10740..76ecf0c5c827 100644
--- a/x/staking/genesis.go
+++ b/x/staking/genesis.go
@@ -144,10 +144,6 @@ func InitGenesis(
 // GenesisState will contain the pool, params, validators, and bonds found in
 // the keeper.
 func ExportGenesis(ctx sdk.Context, keeper Keeper) types.GenesisState {
-	params := keeper.GetParams(ctx)
-	lastTotalPower := keeper.GetLastTotalPower(ctx)
-	validators := keeper.GetAllValidators(ctx)
-	delegations := keeper.GetAllDelegations(ctx)
 	var unbondingDelegations []types.UnbondingDelegation
 	keeper.IterateUnbondingDelegations(ctx, func(_ int64, ubd types.UnbondingDelegation) (stop bool) {
 		unbondingDelegations = append(unbondingDelegations, ubd)
@@ -165,11 +161,11 @@ func ExportGenesis(ctx sdk.Context, keeper Keeper) types.GenesisState {
 	})
 
 	return types.GenesisState{
-		Params:               params,
-		LastTotalPower:       lastTotalPower,
+		Params:               keeper.GetParams(ctx),
+		LastTotalPower:       keeper.GetLastTotalPower(ctx),
 		LastValidatorPowers:  lastValidatorPowers,
-		Validators:           validators,
-		Delegations:          delegations,
+		Validators:           keeper.GetAllValidators(ctx),
+		Delegations:          keeper.GetAllDelegations(ctx),
 		UnbondingDelegations: unbondingDelegations,
 		Redelegations:        redelegations,
 		Exported:             true,
diff --git a/x/staking/keeper/historical_info.go b/x/staking/keeper/historical_info.go
index 2ce0aee7dbcc..01ae38cc4092 100644
--- a/x/staking/keeper/historical_info.go
+++ b/x/staking/keeper/historical_info.go
@@ -36,6 +36,32 @@ func (k Keeper) DeleteHistoricalInfo(ctx sdk.Context, height int64) {
 	store.Delete(key)
 }
 
+// IterateHistoricalInfo provides an interator over all stored HistoricalInfo
+//  objects. For each HistoricalInfo object, cb will be called. If the cb returns
+// true, the iterator will close and stop.
+func (k Keeper) IterateHistoricalInfo(ctx sdk.Context, cb func(types.HistoricalInfo) bool) {
+	store := ctx.KVStore(k.storeKey)
+	iterator := sdk.KVStorePrefixIterator(store, types.HistoricalInfoKey)
+	defer iterator.Close()
+
+	for ; iterator.Valid(); iterator.Next() {
+		histInfo := types.MustUnmarshalHistoricalInfo(k.cdc, iterator.Value())
+		if cb(histInfo) {
+			break
+		}
+	}
+}
+
+// GetAllHistoricalInfo returns all stored HistoricalInfo objects.
+func (k Keeper) GetAllHistoricalInfo(ctx sdk.Context) []types.HistoricalInfo {
+	var infos []types.HistoricalInfo
+	k.IterateHistoricalInfo(ctx, func(histInfo types.HistoricalInfo) bool {
+		infos = append(infos, histInfo)
+		return false
+	})
+	return infos
+}
+
 // TrackHistoricalInfo saves the latest historical-info and deletes the oldest
 // heights that are below pruning height
 func (k Keeper) TrackHistoricalInfo(ctx sdk.Context) {
diff --git a/x/staking/keeper/historical_info_test.go b/x/staking/keeper/historical_info_test.go
index 3a3f1100592b..37e3b7237f58 100644
--- a/x/staking/keeper/historical_info_test.go
+++ b/x/staking/keeper/historical_info_test.go
@@ -114,3 +114,32 @@ func TestTrackHistoricalInfo(t *testing.T) {
 	require.False(t, found, "GetHistoricalInfo did not prune first prune height")
 	require.Equal(t, types.HistoricalInfo{}, recv, "GetHistoricalInfo at height 5 is not empty after prune")
 }
+
+func TestGetAllHistoricalInfo(t *testing.T) {
+	_, app, ctx := createTestInput()
+
+	addrDels := simapp.AddTestAddrsIncremental(app, ctx, 50, sdk.NewInt(0))
+	addrVals := simapp.ConvertAddrsToValAddrs(addrDels)
+
+	valSet := []types.Validator{
+		types.NewValidator(addrVals[0], PKs[0], types.Description{}),
+		types.NewValidator(addrVals[1], PKs[1], types.Description{}),
+	}
+
+	header1 := abci.Header{ChainID: "HelloChain", Height: 10}
+	header2 := abci.Header{ChainID: "HelloChain", Height: 11}
+	header3 := abci.Header{ChainID: "HelloChain", Height: 12}
+
+	hist1 := types.HistoricalInfo{Header: header1, Valset: valSet}
+	hist2 := types.HistoricalInfo{Header: header2, Valset: valSet}
+	hist3 := types.HistoricalInfo{Header: header3, Valset: valSet}
+
+	expHistInfos := []types.HistoricalInfo{hist1, hist2, hist3}
+
+	for i, hi := range expHistInfos {
+		app.StakingKeeper.SetHistoricalInfo(ctx, int64(10+i), hi)
+	}
+
+	infos := app.StakingKeeper.GetAllHistoricalInfo(ctx)
+	require.Equal(t, expHistInfos, infos)
+}
diff --git a/x/staking/keeper/keeper.go b/x/staking/keeper/keeper.go
index feddaf3b96f8..c4f19286597e 100644
--- a/x/staking/keeper/keeper.go
+++ b/x/staking/keeper/keeper.go
@@ -37,6 +37,7 @@ func NewKeeper(
 	cdc codec.Marshaler, key sdk.StoreKey, bk types.BankKeeper, sk types.SupplyKeeper, ps paramtypes.Subspace,
 ) Keeper {
 
+	// set KeyTable if it has not already been set
 	if !ps.HasKeyTable() {
 		ps = ps.WithKeyTable(ParamKeyTable())
 	}
diff --git a/x/staking/simulation/decoder.go b/x/staking/simulation/decoder.go
index 86f1cecc9e00..efd8cb917e42 100644
--- a/x/staking/simulation/decoder.go
+++ b/x/staking/simulation/decoder.go
@@ -51,6 +51,12 @@ func DecodeStore(cdc *codec.Codec, kvA, kvB tmkv.Pair) string {
 		cdc.MustUnmarshalBinaryBare(kvB.Value, &redB)
 		return fmt.Sprintf("%v\n%v", redA, redB)
 
+	case bytes.Equal(kvA.Key[:1], types.HistoricalInfoKey):
+		var histInfoA, histInfoB types.HistoricalInfo
+		cdc.MustUnmarshalBinaryBare(kvA.Value, &histInfoA)
+		cdc.MustUnmarshalBinaryBare(kvB.Value, &histInfoB)
+		return fmt.Sprintf("%v\n%v", histInfoA, histInfoB)
+
 	default:
 		panic(fmt.Sprintf("invalid staking key prefix %X", kvA.Key[:1]))
 	}
diff --git a/x/staking/simulation/decoder_test.go b/x/staking/simulation/decoder_test.go
index 40dd39710e84..813f7fc74a6f 100644
--- a/x/staking/simulation/decoder_test.go
+++ b/x/staking/simulation/decoder_test.go
@@ -7,6 +7,7 @@ import (
 
 	"github.com/stretchr/testify/require"
 
+	abci "github.com/tendermint/tendermint/abci/types"
 	"github.com/tendermint/tendermint/crypto/ed25519"
 	tmkv "github.com/tendermint/tendermint/libs/kv"
 
@@ -38,6 +39,7 @@ func TestDecodeStore(t *testing.T) {
 	del := types.NewDelegation(delAddr1, valAddr1, sdk.OneDec())
 	ubd := types.NewUnbondingDelegation(delAddr1, valAddr1, 15, bondTime, sdk.OneInt())
 	red := types.NewRedelegation(delAddr1, valAddr1, valAddr1, 12, bondTime, sdk.OneInt(), sdk.OneDec())
+	histInfo := types.NewHistoricalInfo(abci.Header{ChainID: "gaia", Height: 10, Time: bondTime}, types.Validators{val})
 
 	kvPairs := tmkv.Pairs{
 		tmkv.Pair{Key: types.LastTotalPowerKey, Value: cdc.MustMarshalBinaryBare(sdk.OneInt())},
@@ -46,6 +48,7 @@ func TestDecodeStore(t *testing.T) {
 		tmkv.Pair{Key: types.GetDelegationKey(delAddr1, valAddr1), Value: cdc.MustMarshalBinaryBare(del)},
 		tmkv.Pair{Key: types.GetUBDKey(delAddr1, valAddr1), Value: cdc.MustMarshalBinaryBare(ubd)},
 		tmkv.Pair{Key: types.GetREDKey(delAddr1, valAddr1, valAddr1), Value: cdc.MustMarshalBinaryBare(red)},
+		tmkv.Pair{Key: types.GetHistoricalInfoKey(10), Value: cdc.MustMarshalBinaryBare(histInfo)},
 		tmkv.Pair{Key: []byte{0x99}, Value: []byte{0x99}},
 	}
 
@@ -59,6 +62,7 @@ func TestDecodeStore(t *testing.T) {
 		{"Delegation", fmt.Sprintf("%v\n%v", del, del)},
 		{"UnbondingDelegation", fmt.Sprintf("%v\n%v", ubd, ubd)},
 		{"Redelegation", fmt.Sprintf("%v\n%v", red, red)},
+		{"HistoricalInfo", fmt.Sprintf("%v\n%v", histInfo, histInfo)},
 		{"other", ""},
 	}
 	for i, tt := range tests {
diff --git a/x/staking/types/keys.go b/x/staking/types/keys.go
index d278b50db3e7..dc4d027b66f2 100644
--- a/x/staking/types/keys.go
+++ b/x/staking/types/keys.go
@@ -15,9 +15,6 @@ const (
 	// StoreKey is the string store representation
 	StoreKey = ModuleName
 
-	// TStoreKey is the string transient store representation
-	TStoreKey = "transient_" + ModuleName
-
 	// QuerierRoute is the querier route for the staking module
 	QuerierRoute = ModuleName