diff --git a/.github/workflows/coverity.yml b/.github/workflows/coverity.yml
new file mode 100644
index 0000000..a93cd81
--- /dev/null
+++ b/.github/workflows/coverity.yml
@@ -0,0 +1,126 @@
+name: Coverity Scan
+
+# Public static analysis via the free Coverity Scan service (scan.coverity.com,
+# operated by Black Duck). Coverity is a compiled-language analyzer: it must wrap
+# the real C/C++ build with `cov-build`, so this workflow installs MKL, compiles
+# the extension under capture, and uploads the result for analysis.
+#
+# One-time setup required before the first run (see the PR/commit notes):
+#   1. Register IntelPython/mkl_random at https://scan.coverity.com/github
+#      (sign in with GitHub; the project name must match COVERITY_PROJECT below).
+#   2. Add two repository secrets (Settings -> Secrets and variables -> Actions):
+#        COVERITY_SCAN_TOKEN  - the project token from the Project Settings tab
+#        COVERITY_SCAN_EMAIL  - a maintainer email for build notifications
+#
+# Free-tier quota for a project under 100K LOC (mkl_random is ~10K) is 28
+# builds/week, max 4/day, so this runs on a weekly schedule plus on demand
+# rather than per-push.
+
+on:
+  schedule:
+    - cron: "0 1 * * 1"  # Mondays 01:00 UTC; well under the free build quota
+  workflow_dispatch:
+
+permissions:
+  contents: read
+
+concurrency:
+  group: coverity-${{ github.ref }}
+  cancel-in-progress: true
+
+env:
+  COVERITY_PROJECT: IntelPython/mkl_random
+
+jobs:
+  coverity-scan:
+    # Forks lack the COVERITY_SCAN_* secrets; only run on the canonical repo.
+    if: github.repository == 'IntelPython/mkl_random'
+    runs-on: ubuntu-latest
+
+    steps:
+      - name: Checkout repo
+        uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7.0.1
+        with:
+          fetch-depth: 0
+
+      - name: Setup Python
+        uses: actions/setup-python@5fda3b95a4ea91299a34e894583c3862153e4b97 # v7.0.0
+        with:
+          python-version: "3.12"
+          architecture: x64
+
+      - name: Install build dependencies
+        run: pip install cython "setuptools>=77" "numpy>=2" mkl-devel
+
+      - name: Export MKLROOT
+        run: |
+          # mkl-devel installs mkl.h + libmkl_rt into the Python prefix.
+          MKLROOT="$(python -c 'import sys; print(sys.prefix)')"
+          if [ ! -f "${MKLROOT}/include/mkl.h" ]; then
+            echo "::error::mkl.h not found under ${MKLROOT}; mkl-devel did not install as expected."
+            exit 1
+          fi
+          # The wheel ships only the versioned libmkl_rt.so.3, not the bare
+          # linker name, so `g++ -lmkl_rt` fails until we add the symlink.
+          if [ ! -e "${MKLROOT}/lib/libmkl_rt.so" ]; then
+            rt_so=("${MKLROOT}/lib/"libmkl_rt.so.*)
+            if [ ! -e "${rt_so[0]}" ]; then
+              echo "::error::libmkl_rt.so.* not found under ${MKLROOT}/lib."
+              exit 1
+            fi
+            ln -s "${rt_so[0]}" "${MKLROOT}/lib/libmkl_rt.so"
+          fi
+          echo "MKLROOT=${MKLROOT}" >> "$GITHUB_ENV"
+          echo "LD_LIBRARY_PATH=${MKLROOT}/lib:${LD_LIBRARY_PATH}" >> "$GITHUB_ENV"
+
+      - name: Download Coverity Build Tool
+        env:
+          COVERITY_SCAN_TOKEN: ${{ secrets.COVERITY_SCAN_TOKEN }}
+        run: |
+          curl --location --no-progress-meter \
+               --data-urlencode "token=${COVERITY_SCAN_TOKEN}" \
+               --data-urlencode "project=${COVERITY_PROJECT}" \
+               --output cov-analysis.tar.gz \
+               https://scan.coverity.com/download/linux64
+          # An invalid token/project returns a small HTML error page, not the
+          # multi-hundred-MB tarball. Fail loudly with a clear hint if so.
+          if [ "$(stat -c '%s' cov-analysis.tar.gz)" -lt 1000000 ]; then
+            echo "::error::Coverity build tool download failed. Verify the COVERITY_SCAN_TOKEN secret and that the registered project name matches '${COVERITY_PROJECT}'."
+            head -c 512 cov-analysis.tar.gz || true
+            exit 1
+          fi
+          mkdir -p cov-analysis
+          tar -xzf cov-analysis.tar.gz --strip 1 -C cov-analysis
+          echo "${PWD}/cov-analysis/bin" >> "$GITHUB_PATH"
+
+      - name: Configure Coverity for GCC/G++
+        run: cov-configure --gcc
+
+      - name: Build under cov-build
+        run: |
+          # Force a clean rebuild so g++ genuinely runs and Coverity can capture
+          # it. A stale .so or generated .cpp would skip compilation and yield
+          # "No files were emitted", which the upload rejects.
+          rm -rf build/ mkl_random/*.so mkl_random/mklrand.cpp
+          cov-build --dir cov-int pip install -e . --no-build-isolation --no-deps 2>&1 | tee cov-build.log
+          # The extension has 3 translation units (mklrand.cpp + the two src/*.cpp);
+          # bail out if none were captured.
+          if ! grep -qE "Emitted [1-9][0-9]* .*compilation unit" cov-build.log; then
+            echo "::error::Coverity captured 0 compilation units — the C++ build did not run under cov-build."
+            exit 1
+          fi
+
+      - name: Submit results to Coverity Scan
+        env:
+          COVERITY_SCAN_TOKEN: ${{ secrets.COVERITY_SCAN_TOKEN }}
+          COVERITY_SCAN_EMAIL: ${{ secrets.COVERITY_SCAN_EMAIL }}
+        run: |
+          tar -czf cov-int.tgz cov-int
+          curl --no-progress-meter \
+               --form token="${COVERITY_SCAN_TOKEN}" \
+               --form email="${COVERITY_SCAN_EMAIL}" \
+               --form file=@cov-int.tgz \
+               --form version="${GITHUB_SHA}" \
+               --form description="GitHub Actions ${GITHUB_REF_NAME} (run ${GITHUB_RUN_ID})" \
+               --form project="${COVERITY_PROJECT}" \
+               https://scan.coverity.com/builds
diff --git a/README.md b/README.md
index b58ae37..f820d03 100644
--- a/README.md
+++ b/README.md
@@ -1,5 +1,6 @@
 ## `mkl_random` -- a NumPy-based Python interface to Intel® oneAPI Math Kernel Library (OneMKL) Random Number Generation functionality
 [![Conda package using conda-forge](https://github.com/IntelPython/mkl_random/actions/workflows/conda-package-cf.yml/badge.svg)](https://github.com/IntelPython/mkl_random/actions/workflows/conda-package-cf.yml)
+[![Coverity Scan Build Status](https://scan.coverity.com/projects/33198/badge.svg)](https://scan.coverity.com/projects/intelpython-mkl_random)
 
 `mkl_random` started as a part of Intel® Distribution for Python optimizations to NumPy.