diff --git a/CMakeLists.txt b/CMakeLists.txt
new file mode 100644
index 0000000..3e81dcc
--- /dev/null
+++ b/CMakeLists.txt
@@ -0,0 +1,23 @@
+cmake_minimum_required(VERSION 3.12)
+cmake_policy(SET CMP0074 NEW)
+
+project(xcompact3d LANGUAGES Fortran)
+
+find_package(MPI REQUIRED)
+if (MPI_Fortran_COMPILER)
+  message(STATUS "MPI_Fortran_COMPILER found: ${MPI_Fortran_COMPILER}")
+else (MPI_Fortran_COMPILER)
+  message(SEND_ERROR "This application cannot compile without MPI")
+endif(MPI_Fortran_COMPILER)
+
+# Create a static library for the fft
+add_subdirectory(decomp2d)
+
+# Create the Xcompact3d executable
+add_subdirectory(src)
+
+include(GNUInstallDirs)
+set(CMAKE_INSTALL_PREFIX ${PROJECT_BINARY_DIR})
+install(TARGETS xcompact3d
+  RUNTIME DESTINATION ${CMAKE_INSTALL_BINDIR}
+  )
diff --git a/decomp2d/CMakeLists.txt b/decomp2d/CMakeLists.txt
new file mode 100644
index 0000000..f837c6d
--- /dev/null
+++ b/decomp2d/CMakeLists.txt
@@ -0,0 +1,14 @@
+file(GLOB files_decomp decomp_2d.f90 glassman.f90)
+file(GLOB files_fft fft_generic.f90)
+set(SRCFILES ${files_decomp} ${files_fft})
+
+add_library(decomp2d STATIC ${SRCFILES})
+target_link_libraries(decomp2d PRIVATE MPI::MPI_Fortran)
+
+include(cmake/gfortran_flags.cmake)
+
+if(${CMAKE_Fortran_COMPILER_VERSION} VERSION_GREATER_EQUAL 10.3)
+  list(APPEND gfortran_flags -fallow-argument-mismatch)
+  # See https://github.com/xcompact3d/x3div/pull/20#discussion_r814948614
+endif()
+target_compile_options(decomp2d PRIVATE ${gfortran_flags})
diff --git a/decomp2d/cmake/gfortran_flags.cmake b/decomp2d/cmake/gfortran_flags.cmake
new file mode 100644
index 0000000..3a63bea
--- /dev/null
+++ b/decomp2d/cmake/gfortran_flags.cmake
@@ -0,0 +1,10 @@
+set(gfortran_flags
+  -cpp
+  -funroll-loops
+  -floop-optimize
+  -g
+  -Warray-bounds
+  -fcray-pointer
+  -fbacktrace
+  -ffree-line-length-none
+  )
diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt
new file mode 100644
index 0000000..e50dbbf
--- /dev/null
+++ b/src/CMakeLists.txt
@@ -0,0 +1,26 @@
+set(SRCFILES
+  xcompact3d.f90
+  case.f90
+  derive.f90
+  module_param.f90
+  mom.f90
+  navier.f90
+  parameters.f90
+  poisson.f90
+  schemes.f90
+  transeq.f90
+  variables.f90
+  )
+
+add_executable(xcompact3d ${SRCFILES})
+
+target_include_directories(xcompact3d PRIVATE ${PROJECT_BINARY_DIR}/decomp2d)
+target_link_libraries(xcompact3d PRIVATE decomp2d)
+target_link_libraries(xcompact3d PRIVATE MPI::MPI_Fortran)
+
+include(cmake/gfortran_flags.cmake)
+if(${CMAKE_Fortran_COMPILER_VERSION} VERSION_GREATER_EQUAL 10.3)
+  list(APPEND gfortran_flags -fallow-argument-mismatch)
+  # See https://github.com/xcompact3d/x3div/pull/20#discussion_r814948614
+endif()
+target_compile_options(xcompact3d PRIVATE ${gfortran_flags})
diff --git a/src/cmake/gfortran_flags.cmake b/src/cmake/gfortran_flags.cmake
new file mode 100644
index 0000000..3a63bea
--- /dev/null
+++ b/src/cmake/gfortran_flags.cmake
@@ -0,0 +1,10 @@
+set(gfortran_flags
+  -cpp
+  -funroll-loops
+  -floop-optimize
+  -g
+  -Warray-bounds
+  -fcray-pointer
+  -fbacktrace
+  -ffree-line-length-none
+  )