diff a/cmake/FindBrotliDec.cmake b/cmake/FindBrotliDec.cmake
--- a/cmake/FindBrotliDec.cmake
+++ b/cmake/FindBrotliDec.cmake
@@ -18,10 +18,10 @@ find_path(BROTLIDEC_INCLUDE_DIRS
     HINTS ${PC_BROTLIDEC_INCLUDEDIR}
 )
 
-find_library(BROTLIDEC_LIBRARIES
-    NAMES brotlidec
-    HINTS ${PC_BROTLIDEC_LIBDIR}
-)
+if(NOT BUILD_SHARED_LIBS)
+  set(_S "STATIC_")
+endif()
+set(BROTLIDEC_LIBRARIES ${PC_BROTLIDEC_${_S}LIBRARIES})
 
 include(FindPackageHandleStandardArgs)
 find_package_handle_standard_args(BrotliDec
diff a/cmake/FindBrotliEnc.cmake b/cmake/FindBrotliEnc.cmake
--- a/cmake/FindBrotliEnc.cmake
+++ b/cmake/FindBrotliEnc.cmake
@@ -18,10 +18,10 @@ find_path(BROTLIENC_INCLUDE_DIRS
     HINTS ${PC_BROTLIENC_INCLUDEDIR}
 )
 
-find_library(BROTLIENC_LIBRARIES
-    NAMES brotlienc
-    HINTS ${PC_BROTLIENC_LIBDIR}
-)
+if(NOT BUILD_SHARED_LIBS)
+  set(_S "STATIC_")
+endif()
+set(BROTLIENC_LIBRARIES ${PC_BROTLIENC_${_S}LIBRARIES})
 
 include(FindPackageHandleStandardArgs)
 find_package_handle_standard_args(BrotliEnc