diff --git a/pkgs/development/libraries/science/math/cudnn/8.0-6.0/default.nix b/pkgs/development/libraries/science/math/cudnn/8.0-6.0/default.nix
new file mode 100644
index 00000000000..21efe5b5957
--- /dev/null
+++ b/pkgs/development/libraries/science/math/cudnn/8.0-6.0/default.nix
@@ -0,0 +1,40 @@
+{ stdenv
+, requireFile
+, cudatoolkit
+, fetchurl
+}:
+
+stdenv.mkDerivation rec {
+  version = "6.0";
+  cudatoolkit_version = "8.0";
+
+  name = "cudatoolkit-${cudatoolkit_version}-cudnn-${version}";
+
+  src = fetchurl {
+    url = "http://developer.download.nvidia.com/compute/redist/cudnn/v6.0/cudnn-8.0-linux-x64-v6.0.tgz";
+    sha256 = "173zpgrk55ri8if7s5yngsc89ajd6hz4pss4cdxlv6lcyh5122cv";
+  };
+
+  installPhase = ''
+    function fixRunPath {
+      p=$(patchelf --print-rpath $1)
+      patchelf --set-rpath "$p:${stdenv.lib.makeLibraryPath [ stdenv.cc.cc ]}" $1
+    }
+    fixRunPath lib64/libcudnn.so
+
+    mkdir -p $out
+    cp -a include $out/include
+    cp -a lib64 $out/lib64
+  '';
+
+  propagatedBuildInputs = [
+    cudatoolkit
+  ];
+
+  meta = with stdenv.lib; {
+    description = "NVIDIA CUDA Deep Neural Network library (cuDNN)";
+    homepage = https://developer.nvidia.com/cudnn;
+    license = stdenv.lib.licenses.unfree;
+    maintainers = with maintainers; [ jpbernardy ];
+  };
+}
diff --git a/pkgs/top-level/all-packages.nix b/pkgs/top-level/all-packages.nix
index 3f8f8793db1..a1fecd1b087 100644
--- a/pkgs/top-level/all-packages.nix
+++ b/pkgs/top-level/all-packages.nix
@@ -1565,6 +1565,10 @@ with pkgs;
     cudatoolkit = cudatoolkit8;
   };
 
+  cudnn60_cudatoolkit80 = callPackage ../development/libraries/science/math/cudnn/8.0-6.0 {
+    cudatoolkit = cudatoolkit8;
+  };
+
   curlFull = curl.override {
     idnSupport = true;
     ldapSupport = true;