diff --git a/lib/spack/spack/build_systems/cuda.py b/lib/spack/spack/build_systems/cuda.py
index 07f30514bf4..f20677df337 100644
--- a/lib/spack/spack/build_systems/cuda.py
+++ b/lib/spack/spack/build_systems/cuda.py
@@ -124,6 +124,8 @@ def cuda_flags(arch_list):
         # minimum supported versions
         conflicts("%gcc@:4", when="+cuda ^cuda@11.0:")
         conflicts("%gcc@:5", when="+cuda ^cuda@11.4:")
+        conflicts("%gcc@:7.2", when="+cuda ^cuda@12.4:")
+        conflicts("%clang@:6", when="+cuda ^cuda@12.2:")
 
         # maximum supported version
         # NOTE:
@@ -211,12 +213,16 @@ def cuda_flags(arch_list):
         conflicts("%intel@19.0:", when="+cuda ^cuda@:10.0")
         conflicts("%intel@19.1:", when="+cuda ^cuda@:10.1")
         conflicts("%intel@19.2:", when="+cuda ^cuda@:11.1.0")
+        conflicts("%intel@2021:", when="+cuda ^cuda@:11.4.0")
 
         # XL is mostly relevant for ppc64le Linux
         conflicts("%xl@:12,14:", when="+cuda ^cuda@:9.1")
         conflicts("%xl@:12,14:15,17:", when="+cuda ^cuda@9.2")
         conflicts("%xl@:12,17:", when="+cuda ^cuda@:11.1.0")
 
+        # PowerPC.
+        conflicts("target=ppc64le", when="+cuda ^cuda@12.5:")
+
         # Darwin.
         # TODO: add missing conflicts for %apple-clang cuda@:10
-        conflicts("platform=darwin", when="+cuda ^cuda@11.0.2: ")
+        conflicts("platform=darwin", when="+cuda ^cuda@11.0.2:")
diff --git a/var/spack/repos/builtin/packages/cuda/package.py b/var/spack/repos/builtin/packages/cuda/package.py
index df6a3a7c03e..dce84006cf4 100644
--- a/var/spack/repos/builtin/packages/cuda/package.py
+++ b/var/spack/repos/builtin/packages/cuda/package.py
@@ -25,6 +25,16 @@
 
 preferred_ver = "11.8.0"
 _versions = {
+    "12.5.1": {
+        "Linux-aarch64": (
+            "353e8abc52ca80adf05002b775c7b3a2d2feefcf1c25ae13f8757f9a11efba3e",
+            "https://developer.download.nvidia.com/compute/cuda/12.5.1/local_installers/cuda_12.5.1_555.42.06_linux_sbsa.run",
+        ),
+        "Linux-x86_64": (
+            "b5e0a779e089c86610051141c4cf498beef431858ec63398107391727ecbdb04",
+            "https://developer.download.nvidia.com/compute/cuda/12.5.1/local_installers/cuda_12.5.1_555.42.06_linux.run",
+        ),
+    },
     "12.5.0": {
         "Linux-aarch64": (
             "e7b864c9ae27cef77cafc78614ec33cbb0a27606af9375deffa09c4269a07f04",