diff --git a/lib/maintainers.nix b/lib/maintainers.nix
index cf996b6c32de..4de543b7d076 100644
--- a/lib/maintainers.nix
+++ b/lib/maintainers.nix
@@ -269,6 +269,7 @@
   mbe = "Brandon Edens <brandonedens@gmail.com>";
   mboes = "Mathieu Boespflug <mboes@tweag.net>";
   mcmtroffaes = "Matthias C. M. Troffaes <matthias.troffaes@gmail.com>";
+  mdaiter = "Matthew S. Daiter <mdaiter8121@gmail.com>";
   meditans = "Carlo Nucera <meditans@gmail.com>";
   meisternu = "Matt Miemiec <meister@krutt.org>";
   mic92 = "Jörg Thalheim <joerg@higgsboson.tk>";
diff --git a/pkgs/development/libraries/science/math/cudnn/8.0-5.0/default.nix b/pkgs/development/libraries/science/math/cudnn/8.0-5.0/default.nix
new file mode 100644
index 000000000000..417e17e4bda2
--- /dev/null
+++ b/pkgs/development/libraries/science/math/cudnn/8.0-5.0/default.nix
@@ -0,0 +1,45 @@
+{ stdenv
+, requireFile
+, cudatoolkit
+}:
+
+stdenv.mkDerivation rec {
+  version = "5.0";
+  cudatoolkit_version = "8.0";
+
+  name = "cudatoolkit-${cudatoolkit_version}-cudnn-${version}";
+
+  src = requireFile rec {
+    name = "cudnn-${cudatoolkit_version}-linux-x64-v${version}-ga.tgz";
+    message = ''
+      This nix expression requires that ${name} is already part of the store.
+      Register yourself to NVIDIA Accelerated Computing Developer Program, retrieve the cuDNN library
+      at https://developer.nvidia.com/cudnn, and run the following command in the download directory:
+      nix-prefetch-url file://${name}
+    '';
+    sha256 = "af80eb1ce0cb51e6a734b2bdc599e6d50b676eab3921e5bddfe5443485df86b6";
+  };
+
+  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; [ mdaiter ];
+  };
+}
diff --git a/pkgs/top-level/all-packages.nix b/pkgs/top-level/all-packages.nix
index 322c911095b2..cac69528d809 100644
--- a/pkgs/top-level/all-packages.nix
+++ b/pkgs/top-level/all-packages.nix
@@ -1278,6 +1278,10 @@ in
     cudatoolkit = cudatoolkit75;
   };
 
+  cudnn5_cudatoolkit80 = callPackage ../development/libraries/science/math/cudnn/8.0-5.0 {
+    cudatoolkit = cudatoolkit8;
+  };
+
   curlFull = curl.override {
     idnSupport = true;
     ldapSupport = true;