diff --git a/openmp/CMakeLists.txt b/openmp/CMakeLists.txt
--- a/openmp/CMakeLists.txt
+++ b/openmp/CMakeLists.txt
@@ -81,6 +81,7 @@
        ${ENABLE_LIBOMPTARGET})
 option(OPENMP_ENABLE_LIBOMPTARGET_PROFILING "Enable time profiling for libomptarget."
        ${ENABLE_LIBOMPTARGET})
+option(OPENMP_ENABLE_LIBOMP_PROFILING "Enable time profiling for libomp." OFF)
 
 # Build host runtime library, after LIBOMPTARGET variables are set since they are needed
 # to enable time profiling support in the OpenMP runtime.
diff --git a/openmp/docs/design/Runtimes.rst b/openmp/docs/design/Runtimes.rst
--- a/openmp/docs/design/Runtimes.rst
+++ b/openmp/docs/design/Runtimes.rst
@@ -48,7 +48,10 @@
 `Speedscope App`_. Building this feature depends on the `LLVM Support Library`_
 for time trace output. Using this library is enabled by default when building
 using the CMake option ``OPENMP_ENABLE_LIBOMPTARGET_PROFILING``. The output will
-be saved to the filename specified by the environment variable.
+be saved to the filename specified by the environment variable. For multi-threaded
+applications, profiling in ``libomp`` is also needed. Setting the CMake option
+``OPENMP_ENABLE_LIBOMP_PROFILING=ON`` to enable the feature. Note that this will
+turn ``libomp`` into a C++ library.
 
 .. _`Chrome Tracing`: https://www.chromium.org/developers/how-tos/trace-event-profiling-tool
 
diff --git a/openmp/runtime/CMakeLists.txt b/openmp/runtime/CMakeLists.txt
--- a/openmp/runtime/CMakeLists.txt
+++ b/openmp/runtime/CMakeLists.txt
@@ -34,7 +34,6 @@
   # Should assertions be enabled?  They are on by default.
   set(LIBOMP_ENABLE_ASSERTIONS TRUE CACHE BOOL
     "enable assertions?")
-  set(LIBOMPTARGET_PROFILING_SUPPORT FALSE)
 else() # Part of LLVM build
   # Determine the native architecture from LLVM.
   string(TOLOWER "${LLVM_TARGET_ARCH}" LIBOMP_NATIVE_ARCH)
@@ -66,10 +65,11 @@
     libomp_get_architecture(LIBOMP_ARCH)
   endif ()
   set(LIBOMP_ENABLE_ASSERTIONS ${LLVM_ENABLE_ASSERTIONS})
-  # Time profiling support
-  set(LIBOMPTARGET_PROFILING_SUPPORT ${OPENMP_ENABLE_LIBOMPTARGET_PROFILING})
 endif()
 
+# Time profiling support
+set(LIBOMP_PROFILING_SUPPORT ${OPENMP_ENABLE_LIBOMP_PROFILING})
+
 # FUJITSU A64FX is a special processor because its cache line size is 256.
 # We need to pass this information into kmp_config.h.
 if(LIBOMP_ARCH STREQUAL "aarch64")
diff --git a/openmp/runtime/src/CMakeLists.txt b/openmp/runtime/src/CMakeLists.txt
--- a/openmp/runtime/src/CMakeLists.txt
+++ b/openmp/runtime/src/CMakeLists.txt
@@ -50,9 +50,8 @@
   include_directories(${LIBOMP_HWLOC_INSTALL_DIR}/include)
 endif()
 
-# Building with time profiling support for libomptarget requires
-# LLVM directory includes.
-if(LIBOMPTARGET_PROFILING_SUPPORT)
+# Building with time profiling support requires LLVM directory includes.
+if(LIBOMP_PROFILING_SUPPORT)
   include_directories(
     ${LLVM_MAIN_INCLUDE_DIR}
     ${LLVM_INCLUDE_DIR}
@@ -144,7 +143,7 @@
 
 libomp_get_libflags(LIBOMP_CONFIGURED_LIBFLAGS)
 # Build libomp library. Add LLVMSupport dependency if building in-tree with libomptarget profiling enabled.
-if(OPENMP_STANDALONE_BUILD OR (NOT OPENMP_ENABLE_LIBOMPTARGET_PROFILING))
+if(OPENMP_STANDALONE_BUILD OR (NOT OPENMP_ENABLE_LIBOMP_PROFILING))
   add_library(omp ${LIBOMP_LIBRARY_KIND} ${LIBOMP_SOURCE_FILES})
   # Linking command will include libraries in LIBOMP_CONFIGURED_LIBFLAGS
   target_link_libraries(omp ${LIBOMP_CONFIGURED_LIBFLAGS} ${CMAKE_DL_LIBS})
@@ -153,6 +152,8 @@
     LINK_LIBS ${LIBOMP_CONFIGURED_LIBFLAGS} ${CMAKE_DL_LIBS}
     LINK_COMPONENTS Support
     )
+  # libomp must be a C++ library such that it can link libLLVMSupport
+  set(LIBOMP_LINKER_LANGUAGE CXX)
 endif()
 
 set_target_properties(omp PROPERTIES
diff --git a/openmp/runtime/src/kmp_config.h.cmake b/openmp/runtime/src/kmp_config.h.cmake
--- a/openmp/runtime/src/kmp_config.h.cmake
+++ b/openmp/runtime/src/kmp_config.h.cmake
@@ -44,8 +44,8 @@
 #define OMPT_DEBUG LIBOMP_OMPT_DEBUG
 #cmakedefine01 LIBOMP_OMPT_SUPPORT
 #define OMPT_SUPPORT LIBOMP_OMPT_SUPPORT
-#cmakedefine01 LIBOMPTARGET_PROFILING_SUPPORT
-#define OMPTARGET_PROFILING_SUPPORT LIBOMPTARGET_PROFILING_SUPPORT
+#cmakedefine01 LIBOMP_PROFILING_SUPPORT
+#define OMP_PROFILING_SUPPORT LIBOMP_PROFILING_SUPPORT
 #cmakedefine01 LIBOMP_OMPT_OPTIONAL
 #define OMPT_OPTIONAL LIBOMP_OMPT_OPTIONAL
 #cmakedefine01 LIBOMP_USE_ADAPTIVE_LOCKS
diff --git a/openmp/runtime/src/kmp_runtime.cpp b/openmp/runtime/src/kmp_runtime.cpp
--- a/openmp/runtime/src/kmp_runtime.cpp
+++ b/openmp/runtime/src/kmp_runtime.cpp
@@ -32,7 +32,7 @@
 #include "ompt-specific.h"
 #endif
 
-#if OMPTARGET_PROFILING_SUPPORT
+#if OMP_PROFILING_SUPPORT
 #include "llvm/Support/TimeProfiler.h"
 static char *ProfileTraceFile = nullptr;
 #endif
@@ -5740,7 +5740,7 @@
 /* ------------------------------------------------------------------------ */
 
 void *__kmp_launch_thread(kmp_info_t *this_thr) {
-#if OMPTARGET_PROFILING_SUPPORT
+#if OMP_PROFILING_SUPPORT
   ProfileTraceFile = getenv("LIBOMPTARGET_PROFILE");
   // TODO: add a configuration option for time granularity
   if (ProfileTraceFile)
@@ -5848,7 +5848,7 @@
   KA_TRACE(10, ("__kmp_launch_thread: T#%d done\n", gtid));
   KMP_MB();
 
-#if OMPTARGET_PROFILING_SUPPORT
+#if OMP_PROFILING_SUPPORT
   llvm::timeTraceProfilerFinishThread();
 #endif
   return this_thr;