diff --git a/CMakeLists.txt b/CMakeLists.txt
new file mode 100644
index 0000000..1d7157b
--- /dev/null
+++ b/CMakeLists.txt
@@ -0,0 +1,19 @@
+cmake_minimum_required(VERSION 3.10)
+
+project(regex-engine LANGUAGES C)
+
+option(SANITIZERS "Enable address and UB sanitizers")
+
+enable_testing()
+
+function(set_default_target_options target)
+  set_property(TARGET ${target} PROPERTY C_STANDARD 11)
+  target_compile_options(${target} PRIVATE -Wall -Wextra -pedantic)
+  if(${SANITIZERS})
+	target_compile_options(${target} PRIVATE -fsanitize=address,undefined)
+	target_link_options(${target} PRIVATE -fsanitize=address,undefined)
+  endif()
+endfunction()
+
+add_subdirectory(lib)
+add_subdirectory(tests)
diff --git a/README b/README
index aa1dc1d..afd0899 100644
--- a/README
+++ b/README
@@ -21,14 +21,14 @@ syntax; the expression syntax I intend to support follows.
 
                       Building and Running Tests
 
-There are two scripts, build.sh and test.sh, which will (much to
-everybody's shock) build and run tests.  The build script uses Clang
-but the code is ISO C11 so it should compile just fine with GCC or
-something instead.
+The build uses CMake.  There are two scripts, build.sh and test.sh,
+which will (much to everybody's shock) build the project and run the
+tests.  The build script specifies Clang but the code is ISO C11 so it
+should compile just fine with GCC or something instead.
 
-	sh scripts/build.sh  # Compile library and test code
-	sh scripts/test.sh   # Run tests
+	scripts/build.sh  # Compile library and tests
+	scripts/test.sh   # Run tests
 
 There is also an entr.sh script which will watch all the project's
-files and rebuild and rerun the tests on any changes, using the entr
-tool.
+files and rebuild then rerun the tests on any changes (uses entr --
+hence the name of the script).
diff --git a/lib/CMakeLists.txt b/lib/CMakeLists.txt
new file mode 100644
index 0000000..d83b1e2
--- /dev/null
+++ b/lib/CMakeLists.txt
@@ -0,0 +1,9 @@
+add_library(lib
+  construct.c
+  desugar.c
+  fsa.c
+  parse.c
+  regex.c
+)
+set_default_target_options(lib)
+target_include_directories(lib PUBLIC include)
diff --git a/scripts/build.sh b/scripts/build.sh
index bbf7bd7..f640a4a 100755
--- a/scripts/build.sh
+++ b/scripts/build.sh
@@ -1,29 +1,7 @@
 #!/bin/sh
-
 cd "$(git rev-parse --show-toplevel)"
-
-CFLAGS="$CFLAGS -std=c11 -pedantic -Wall -Wextra"
-CFLAGS="$CFLAGS -fsanitize=address,undefined"
-CFLAGS="$CFLAGS -O0 -ggdb"
-
-if [ ! -e build ]; then mkdir build; else rm build/*; fi
-
-# Build library
-clang $CFLAGS -Ilib/include -c lib/parse.c -o build/parse.o
-clang $CFLAGS -Ilib/include -c lib/desugar.c -o build/desugar.o
-clang $CFLAGS -Ilib/include -c lib/regex.c -o build/regex.o
-clang $CFLAGS -Ilib/include -c lib/fsa.c -o build/fsa.o
-clang $CFLAGS -Ilib/include -c lib/construct.c -o build/construct.o
-ar -crs build/lib.a build/parse.o build/desugar.o build/regex.o \
-   build/fsa.o build/construct.o
-
-# Build tests
-clang $CFLAGS -Itests/include -c tests/testing.c -o build/testing.o
-clang $CFLAGS -Ilib/include -Itests/include -o build/parse_tests \
-	  tests/parse_tests.c build/testing.o build/lib.a
-clang $CFLAGS -Ilib/include -Itests/include -o build/desugar_tests \
-	  tests/desugar_tests.c build/testing.o build/lib.a
-clang $CFLAGS -Ilib/include -Itests/include -o build/fsa_tests \
-	  tests/fsa_tests.c build/testing.o build/lib.a
-clang $CFLAGS -Ilib/include -Itests/include -o build/construct_tests \
-	  tests/construct_tests.c build/testing.o build/lib.a
+if [ ! -e build ]; then
+	cmake -Bbuild -DCMAKE_BUILD_TYPE=Debug -DCMAKE_C_COMPILER=clang \
+		  -DSANITIZERS=ON
+fi
+cmake --build build
diff --git a/scripts/test.sh b/scripts/test.sh
index 4920bd9..697409a 100755
--- a/scripts/test.sh
+++ b/scripts/test.sh
@@ -1,12 +1,3 @@
 #!/bin/sh
-
 cd "$(git rev-parse --show-toplevel)"
-
-fails=0
-
-build/parse_tests || fails=`expr $fails + 1`
-build/desugar_tests || fails=`expr $fails + 1`
-build/fsa_tests || fails=`expr $fails + 1`
-build/construct_tests || fails=`expr $fails + 1`
-
-if [ $fails -eq 0 ]; then echo Tests OK; fi
+ctest --test-dir build
diff --git a/tests/CMakeLists.txt b/tests/CMakeLists.txt
new file mode 100644
index 0000000..946ba70
--- /dev/null
+++ b/tests/CMakeLists.txt
@@ -0,0 +1,24 @@
+add_library(testing testing.c)
+set_default_target_options(testing)
+target_include_directories(testing PUBLIC include)
+
+function(add_test_suite source)
+  string(REGEX REPLACE ".c$" "" name ${source})
+  add_executable(${name} ${source})
+  set_default_target_options(${name})
+  target_link_libraries(${name} PRIVATE lib testing)
+  add_test(NAME ${name} COMMAND ${name})
+endfunction()
+
+function(add_test_suites)
+  foreach(source ${ARGN})
+	add_test_suite(${source})
+  endforeach()
+endfunction()
+
+add_test_suites(
+  construct_tests.c
+  desugar_tests.c
+  fsa_tests.c
+  parse_tests.c
+)