diff --git a/pkgs/development/libraries/science/math/cutensor/generic.nix b/pkgs/development/libraries/science/math/cutensor/generic.nix
index e4cbf0ab7bf7..c957fcdd99d4 100644
--- a/pkgs/development/libraries/science/math/cutensor/generic.nix
+++ b/pkgs/development/libraries/science/math/cutensor/generic.nix
@@ -13,6 +13,7 @@
 let
   mostOfVersion = builtins.concatStringsSep "."
     (lib.take 3 (lib.versions.splitVersion version));
+  platform = "${stdenv.hostPlatform.parsed.kernel.name}-${stdenv.hostPlatform.parsed.cpu.name}";
 in
 
 stdenv.mkDerivation {
@@ -20,7 +21,9 @@ stdenv.mkDerivation {
   inherit version;
 
   src = fetchurl {
-    url = "https://developer.download.nvidia.com/compute/cutensor/${mostOfVersion}/local_installers/libcutensor-${stdenv.hostPlatform.parsed.kernel.name}-${stdenv.hostPlatform.parsed.cpu.name}-${version}.tar.gz";
+    url = if lib.versionOlder mostOfVersion "1.3.3"
+      then "https://developer.download.nvidia.com/compute/cutensor/${mostOfVersion}/local_installers/libcutensor-${platform}-${version}.tar.gz"
+      else "https://developer.download.nvidia.com/compute/cutensor/redist/libcutensor/${platform}/libcutensor-${platform}-${version}-archive.tar.xz";
     inherit hash;
   };
 
diff --git a/pkgs/top-level/cuda-packages.nix b/pkgs/top-level/cuda-packages.nix
index 70d57672a0f5..c57e486406e1 100644
--- a/pkgs/top-level/cuda-packages.nix
+++ b/pkgs/top-level/cuda-packages.nix
@@ -28,15 +28,15 @@ let
       "1.2.2.5" = {
         hash = "sha256-lU7iK4DWuC/U3s1Ct/rq2Gr3w4F2U7RYYgpmF05bibY=";
       };
-      "1.3.1.3" = {
-        hash = "sha256-mNlVnabB2IC3HnYY0mb06RLqQzDxN9ePGVeBy3hkBC8=";
+      "1.5.0.3" = {
+        hash = "sha256-T96+lPC6OTOkIs/z3QWg73oYVSyidN0SVkBWmT9VRx0=";
       };
     };
 
     inherit (final) cudaMajorMinorVersion cudaMajorVersion;
 
     cutensor = buildCuTensorPackage rec {
-      version = if cudaMajorMinorVersion == "10.1" then "1.2.2.5" else "1.3.1.3";
+      version = if cudaMajorMinorVersion == "10.1" then "1.2.2.5" else "1.5.0.3";
       inherit (cuTensorVersions.${version}) hash;
       # This can go into generic.nix
       libPath = "lib/${if cudaMajorVersion == "10" then cudaMajorMinorVersion else cudaMajorVersion}";