diff --git a/pkgs/by-name/sl/slepc/package.nix b/pkgs/by-name/sl/slepc/package.nix
new file mode 100644
index 000000000000..371cd1d15805
--- /dev/null
+++ b/pkgs/by-name/sl/slepc/package.nix
@@ -0,0 +1,119 @@
+{
+  lib,
+  stdenv,
+  fetchFromGitLab,
+  sowing,
+  python3,
+  python3Packages,
+  arpack-mpi,
+  petsc,
+  mpi,
+  mpiCheckPhaseHook,
+  pythonSupport ? false,
+  withExamples ? false,
+  withArpack ? stdenv.hostPlatform.isLinux,
+}:
+assert petsc.mpiSupport;
+assert pythonSupport -> petsc.pythonSupport;
+stdenv.mkDerivation (finalAttrs: {
+  pname = "slepc";
+  version = "3.22.2";
+
+  src = fetchFromGitLab {
+    owner = "slepc";
+    repo = "slepc";
+    tag = "v${finalAttrs.version}";
+    hash = "sha256-a5DmsA7NAlhrEaS43TYPk7vtDfhXLEP+5sftu2A9Yt4=";
+  };
+
+  postPatch = ''
+    # Fix slepc4py install prefix
+    substituteInPlace config/packages/slepc4py.py \
+      --replace-fail "slepc.prefixdir,'lib'" \
+      "slepc.prefixdir,'${python3.sitePackages}'"
+
+    patchShebangs lib/slepc/bin
+
+    # Use system bfort
+    substituteInPlace config/packages/sowing.py \
+      --replace-fail "bfort = os.path.join(archdir,'bin','bfort')" \
+      "bfort = '${sowing}/bin/bfort'"
+  '';
+
+  # Usually this project is being built as part of a `petsc` build or as part of
+  # other projects, e.g when `petsc` is `./configure`d with
+  # `--download-slepc=1`. This instructs the slepc to be built as a standalone
+  # project.
+  preConfigure = ''
+    export SLEPC_DIR=$PWD
+  '';
+
+  nativeBuildInputs =
+    [
+      python3
+    ]
+    ++ lib.optionals pythonSupport [
+      python3Packages.setuptools
+      python3Packages.cython
+    ];
+
+  configureFlags =
+    lib.optionals withArpack [
+      "--with-arpack=1"
+    ]
+    ++ lib.optionals pythonSupport [
+      "--with-slepc4py=1"
+    ];
+
+  buildInputs =
+    [
+      mpi
+    ]
+    ++ lib.optionals withArpack [
+      arpack-mpi
+    ];
+
+  propagatedBuildInputs = [
+    petsc
+  ];
+
+  enableParallelBuilding = true;
+
+  installTargets = [ (if withExamples then "install" else "install-lib") ];
+
+  nativeInstallCheckInputs =
+    [
+      mpiCheckPhaseHook
+    ]
+    ++ lib.optionals pythonSupport [
+      python3Packages.pythonImportsCheckHook
+      python3Packages.unittestCheckHook
+    ];
+
+  doInstallCheck = true;
+
+  installCheckTarget = [ "check_install" ];
+
+  unittestFlagsArray = [
+    "-s"
+    "src/binding/slepc4py/test"
+    "-v"
+  ];
+
+  pythonImportsCheck = [ "slepc4py" ];
+
+  shellHook = ./setup-hook.sh;
+
+  meta = {
+    description = "Scalable Library for Eigenvalue Problem Computations";
+    homepage = "https://slepc.upv.es";
+    changelog = "https://gitlab.com/slepc/slepc/blob/${finalAttrs.src.tag}/CHANGELOG.md";
+    license = with lib.licenses; [
+      bsd2
+    ];
+    platforms = lib.platforms.unix;
+    maintainers = with lib.maintainers; [ qbisi ];
+    # Possible error running Fortran src/eps/tests/test7f with 1 MPI process
+    broken = stdenv.hostPlatform.isDarwin && withArpack;
+  };
+})
diff --git a/pkgs/by-name/sl/slepc/setup-hook.sh b/pkgs/by-name/sl/slepc/setup-hook.sh
new file mode 100644
index 000000000000..838c82aaeee9
--- /dev/null
+++ b/pkgs/by-name/sl/slepc/setup-hook.sh
@@ -0,0 +1 @@
+export SLEPC_DIR=@out@
diff --git a/pkgs/top-level/python-packages.nix b/pkgs/top-level/python-packages.nix
index 6b6971212507..fc41fd196b00 100644
--- a/pkgs/top-level/python-packages.nix
+++ b/pkgs/top-level/python-packages.nix
@@ -15350,6 +15350,13 @@ self: super: with self; {
 
   sleepyq = callPackage ../development/python-modules/sleepyq { };
 
+  slepc4py = toPythonModule (pkgs.slepc.override {
+    pythonSupport = true;
+    python3 = self.python;
+    python3Packages = self;
+    petsc = petsc4py;
+  });
+
   sleqp = toPythonModule (pkgs.sleqp.override { pythonSupport = true; python3Packages = self; });
 
   slicedimage = callPackage ../development/python-modules/slicedimage { };