diff --git a/CMakeLists.txt b/CMakeLists.txt
index c250195..89fcee7 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -1,6 +1,16 @@
-cmake_minimum_required(VERSION 3.1)
+cmake_minimum_required(VERSION 3.17..3.30)
 project(sphgeom)
 
+# Find Python interpreter and libraries
+
+find_package(Python3 3.8 REQUIRED COMPONENTS Interpreter Development)
+execute_process(
+  COMMAND "${Python3_EXECUTABLE}" -m pybind11 --cmakedir
+  OUTPUT_STRIP_TRAILING_WHITESPACE OUTPUT_VARIABLE pybind11_ROOT
+  ERROR_VARIABLE error_output
+)
+find_package(pybind11 CONFIG REQUIRED PATHS ${pybind11_ROOT})
+
 enable_testing()
 
 add_subdirectory(python/lsst/sphgeom)
diff --git a/pyproject.toml b/pyproject.toml
index 9cbeb6b..acd3ee5 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -2,8 +2,11 @@
 requires = [
     "setuptools",
     "lsst-versions >= 1.3.0",
+    "scikit-build",
     "wheel",
     "pybind11 >= 2.5.0",
+    "cmake",
+    "ninja",
     "numpy >= 1.18",
 ]
 build-backend = "setuptools.build_meta"
diff --git a/python/lsst/sphgeom/CMakeLists.txt b/python/lsst/sphgeom/CMakeLists.txt
index c11dcab..1dd3b88 100644
--- a/python/lsst/sphgeom/CMakeLists.txt
+++ b/python/lsst/sphgeom/CMakeLists.txt
@@ -1,5 +1,3 @@
-find_package(pybind11 REQUIRED)
-
 pybind11_add_module(_sphgeom
     _angle.cc
     _angleInterval.cc
diff --git a/setup.py b/setup.py
index fa4edf7..d0572b1 100644
--- a/setup.py
+++ b/setup.py
@@ -9,25 +9,9 @@
   interface.
 """
 
-import glob
-
-from pybind11.setup_helpers import ParallelCompile, Pybind11Extension, build_ext
-from setuptools import setup
-
-# Optional multithreaded build.
-ParallelCompile("NPY_NUM_BUILD_JOBS").install()
-
-# Find the source code -- we can combine it into a single module
-pybind_src = sorted(glob.glob("python/lsst/sphgeom/*.cc"))
-cpp_src = sorted(glob.glob("src/*.cc"))
-
-# Very inefficient approach since this compiles the maing sphgeom
-# library code for every extension rather than building everything once
-ext_modules = [
-    Pybind11Extension("lsst.sphgeom._sphgeom", sorted(cpp_src + pybind_src), include_dirs=["include"])
-]
+from skbuild import setup
 
 setup(
-    ext_modules=ext_modules,
-    cmdclass={"build_ext": build_ext},
+    cmake_source_dir=".",
+    cmake_install_dir=".",
 )