diff --git a/ports/openturns/link-gmp.patch b/ports/openturns/link-gmp.patch
new file mode 100644
index 0000000000..c8a6954f13
--- /dev/null
+++ b/ports/openturns/link-gmp.patch
@@ -0,0 +1,15 @@
+diff --git a/CMakeLists.txt b/CMakeLists.txt
+index e13414978..77ecf3e9e 100644
+--- a/CMakeLists.txt
++++ b/CMakeLists.txt
+@@ -303,6 +303,10 @@ if (USE_BOOST)
+         list (APPEND OPENTURNS_PRIVATE_LIBRARIES ${MPC_LIBRARIES})
+       endif ()
+     endif ()
++    if((USE_MPC OR USE_MPFR) AND NOT BUILD_SHARED_LIBS)
++        find_library(GMP_LIBRARY NAMES gmp)
++        list (APPEND OPENTURNS_PRIVATE_LIBRARIES ${GMP_LIBRARY})
++    endif()
+     list (APPEND OPENTURNS_PRIVATE_INCLUDE_DIRS ${Boost_INCLUDE_DIRS})
+   endif ()
+ endif ()
diff --git a/ports/openturns/portfile.cmake b/ports/openturns/portfile.cmake
new file mode 100644
index 0000000000..2170a11be9
--- /dev/null
+++ b/ports/openturns/portfile.cmake
@@ -0,0 +1,62 @@
+vcpkg_from_github(
+    OUT_SOURCE_PATH SOURCE_PATH
+    REPO openturns/openturns
+    REF ad8482ece23d98802edc6258683e8353f9ff8b08
+    SHA512 b0bc88bcf54945b5e786b480e640ee182926c75f1d871f70690d9609c98745b1907b3d9184c07586591fa45238c837da5a893a00d9c576a9e10232bcc9adc593
+    HEAD_REF master
+    PATCHES
+      link-gmp.patch
+      reorder-mpc.patch
+)
+
+vcpkg_find_acquire_program(FLEX)
+get_filename_component(FLEX_DIR "${FLEX}" DIRECTORY)
+vcpkg_add_to_path("${FLEX_DIR}")
+vcpkg_find_acquire_program(BISON)
+get_filename_component(BISON_DIR "${BISON}" DIRECTORY)
+vcpkg_add_to_path("${BISON_DIR}")
+
+vcpkg_cmake_configure(
+    SOURCE_PATH "${SOURCE_PATH}"
+    OPTIONS
+      ${FEATURE_OPTIONS}
+      -DBUILD_PYTHON:BOOL=OFF # Requires additional python modules
+      -DUSE_BOOST:BOOL=ON # Required to make the distributions cross platform
+      -DUSE_DOXYGEN:BOOL=OFF
+      -DUSE_OPENMP:BOOL=OFF
+      -DCMAKE_REQUIRE_FIND_PACKAGE_Spectra:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_Eigen3:BOOL=ON
+      -DCMAKE_DISABLE_FIND_PACKAGE_primesieve:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_BISON:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_FLEX:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_TBB:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_muParser:BOOL=ON
+      -DCMAKE_DISABLE_FIND_PACKAGE_HMAT:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_LibXml2:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_HDF5:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_MPFR:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_MPC:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_NLopt:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_dlib:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_Ceres:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_CMinpack:BOOL=ON
+      -DCMAKE_DISABLE_FIND_PACKAGE_Bonmin:BOOL=ON
+      -DCMAKE_DISABLE_FIND_PACKAGE_Ipopt:BOOL=ON
+      -DCMAKE_REQUIRE_FIND_PACKAGE_Pagmo:BOOL=ON
+)
+
+vcpkg_cmake_install()
+
+vcpkg_cmake_config_fixup(CONFIG_PATH "lib/cmake/${PORT}")
+vcpkg_replace_string("${CURRENT_PACKAGES_DIR}/share/${PORT}/OpenTURNSConfig.cmake" "/lib/cmake/" "/share/")
+vcpkg_replace_string("${CURRENT_PACKAGES_DIR}/share/${PORT}/OpenTURNSConfig.cmake" "/lib" "$<$<CONFIG:DEBUG>:/debug>/lib")
+
+
+file(REMOVE_RECURSE "${CURRENT_PACKAGES_DIR}/debug/share")
+file(REMOVE_RECURSE "${CURRENT_PACKAGES_DIR}/debug/include")
+file(REMOVE "${CURRENT_PACKAGES_DIR}/include/pthread.h"
+            "${CURRENT_PACKAGES_DIR}/include/semaphore.h"
+            "${CURRENT_PACKAGES_DIR}/include/unistd.h")
+
+file(INSTALL "${SOURCE_PATH}/LICENSE" DESTINATION "${CURRENT_PACKAGES_DIR}/share/${PORT}" RENAME "copyright")
+file(INSTALL "${CMAKE_CURRENT_LIST_DIR}/usage" DESTINATION "${CURRENT_PACKAGES_DIR}/share/${PORT}")
diff --git a/ports/openturns/reorder-mpc.patch b/ports/openturns/reorder-mpc.patch
new file mode 100644
index 0000000000..1d1d4672ed
--- /dev/null
+++ b/ports/openturns/reorder-mpc.patch
@@ -0,0 +1,34 @@
+diff --git a/CMakeLists.txt b/CMakeLists.txt
+index 77ecf3e9e..b78ebcbec 100644
+--- a/CMakeLists.txt
++++ b/CMakeLists.txt
+@@ -287,14 +287,6 @@ if (USE_BOOST)
+       set (Boost_VERSION "${Boost_MAJOR_VERSION}.${Boost_MINOR_VERSION}.${Boost_SUBMINOR_VERSION}")
+     endif ()
+     set (OPENTURNS_HAVE_BOOST TRUE)
+-    if (USE_MPFR)
+-      find_package (MPFR)
+-      if (MPFR_FOUND)
+-        set (OPENTURNS_HAVE_MPFR TRUE)
+-        list (APPEND OPENTURNS_PRIVATE_INCLUDE_DIRS ${MPFR_INCLUDE_DIRS})
+-        list (APPEND OPENTURNS_PRIVATE_LIBRARIES ${MPFR_LIBRARIES})
+-      endif ()
+-    endif ()
+     if (USE_MPC AND NOT Boost_VERSION VERSION_LESS 1.68)
+       find_package (MPC)
+       if (MPC_FOUND)
+@@ -303,6 +295,14 @@ if (USE_BOOST)
+         list (APPEND OPENTURNS_PRIVATE_LIBRARIES ${MPC_LIBRARIES})
+       endif ()
+     endif ()
++    if (USE_MPFR)
++      find_package (MPFR)
++      if (MPFR_FOUND)
++        set (OPENTURNS_HAVE_MPFR TRUE)
++        list (APPEND OPENTURNS_PRIVATE_INCLUDE_DIRS ${MPFR_INCLUDE_DIRS})
++        list (APPEND OPENTURNS_PRIVATE_LIBRARIES ${MPFR_LIBRARIES})
++      endif ()
++    endif ()
+     if((USE_MPC OR USE_MPFR) AND NOT BUILD_SHARED_LIBS)
+         find_library(GMP_LIBRARY NAMES gmp)
+         list (APPEND OPENTURNS_PRIVATE_LIBRARIES ${GMP_LIBRARY})
diff --git a/ports/openturns/usage b/ports/openturns/usage
new file mode 100644
index 0000000000..6ccd5926bd
--- /dev/null
+++ b/ports/openturns/usage
@@ -0,0 +1,4 @@
+openturns provides CMake targets:
+
+    find_package(OpenTURNS CONFIG REQUIRED)
+    target_link_libraries(main PRIVATE OT)
diff --git a/ports/openturns/vcpkg.json b/ports/openturns/vcpkg.json
new file mode 100644
index 0000000000..1c170b45bc
--- /dev/null
+++ b/ports/openturns/vcpkg.json
@@ -0,0 +1,46 @@
+{
+  "name": "openturns",
+  "version": "1.20",
+  "description": "OpenTURNS is a scientific C++ and Python library featuring an internal data model and algorithms dedicated to the treatment of uncertainties.",
+  "homepage": "http://www.openturns.org",
+  "license": null,
+  "dependencies": [
+    "blas",
+    "boost-multiprecision",
+    "boost-random",
+    "ceres",
+    "cminpack",
+    "dlib",
+    "exprtk",
+    {
+      "name": "hdf5",
+      "default-features": false,
+      "features": [
+        "cpp"
+      ]
+    },
+    "lapack",
+    "libxml2",
+    "mpc",
+    "mpfr",
+    "muparser",
+    "nlopt",
+    "pagmo2",
+    "pthread",
+    "python3",
+    {
+      "name": "python3",
+      "host": true
+    },
+    "spectra",
+    "tbb",
+    {
+      "name": "vcpkg-cmake",
+      "host": true
+    },
+    {
+      "name": "vcpkg-cmake-config",
+      "host": true
+    }
+  ]
+}
diff --git a/scripts/ci.baseline.txt b/scripts/ci.baseline.txt
index 1a20ddffab..3b24092d94 100644
--- a/scripts/ci.baseline.txt
+++ b/scripts/ci.baseline.txt
@@ -727,6 +727,8 @@ openmesh:arm-uwp=fail
 openmesh:x64-uwp=fail
 openscap:x64-windows-static=fail
 openscap:x64-osx=fail
+# osx needs bison 3.4 installed
+openturns:x64-osx=fail
 # https://github.com/AcademySoftwareFoundation/openvdb/issues/1362
 # openvdb\openvdb\libopenvdb.lib : fatal error LNK1248: image size (109A36020) exceeds maximum allowable size (FFFFFFFF)
 openvdb:x64-windows-static=fail
diff --git a/versions/baseline.json b/versions/baseline.json
index 96ed6f5f40..f726a7908c 100644
--- a/versions/baseline.json
+++ b/versions/baseline.json
@@ -5732,6 +5732,10 @@
       "baseline": "1.6.0",
       "port-version": 3
     },
+    "openturns": {
+      "baseline": "1.20",
+      "port-version": 0
+    },
     "openvdb": {
       "baseline": "10.0.0",
       "port-version": 1
diff --git a/versions/o-/openturns.json b/versions/o-/openturns.json
new file mode 100644
index 0000000000..8b74a498b6
--- /dev/null
+++ b/versions/o-/openturns.json
@@ -0,0 +1,9 @@
+{
+  "versions": [
+    {
+      "git-tree": "7df4639f8285df19714604b6df8f55f170c938f4",
+      "version": "1.20",
+      "port-version": 0
+    }
+  ]
+}