diff --git a/.backportrc.json b/.backportrc.json
new file mode 100644
index 00000000..72c9b85b
--- /dev/null
+++ b/.backportrc.json
@@ -0,0 +1,16 @@
+// .backportrc.json -- for https://github.com/sorenlouv/backport
+{
+  // Required
+  "repoOwner": "mpmath",
+  "repoName": "mpmath",
+  // the branches available to backport to
+  "targetBranchChoices": ["mpmath-1.4.x"],
+  // Automatically detect which branches a pull request should be
+  // backported to based on the pull request labels.
+  "branchLabelMapping": {
+    "^backport-to-(.+)$": "mpmath-$1"
+  },
+  "targetPRLabels": ["backport"],
+  "sourcePRLabels": ["backport-pr-created"],
+  "commitConflicts": true
+}
diff --git a/.github/workflows/backport.yml b/.github/workflows/backport.yml
new file mode 100644
index 00000000..56d58396
--- /dev/null
+++ b/.github/workflows/backport.yml
@@ -0,0 +1,37 @@
+name: Automatic backport action
+
+on:
+  pull_request_target:
+    types: ["labeled", "closed"]
+
+permissions:
+  contents: write # so it can comment
+  pull-requests: write # so it can create pull requests
+
+jobs:
+  backport:
+    name: Backport PR
+    if: github.event.pull_request.merged == true && !(contains(github.event.pull_request.labels.*.name, 'backport')) && !(contains(github.event.pull_request.labels.*.name, 'backport-pr-created'))
+    runs-on: ubuntu-24.04
+    steps:
+      # Workaround not to fail the workflow if the PR does not need a backport
+      # https://github.com/sorenlouv/backport-github-action/issues/127#issuecomment-2277248320
+      - name: Check for backport labels
+        id: check_labels
+        run: |-
+          labels='${{ toJSON(github.event.pull_request.labels.*.name) }}'
+          matched=$(echo "${labels}" | jq '. | map(select(startswith("backport-to-"))) | length')
+          echo "matched=$matched"
+          echo "matched=$matched" >> $GITHUB_OUTPUT
+      - name: Backport Action
+        if: fromJSON(steps.check_labels.outputs.matched) > 0
+        uses: sorenlouv/backport-github-action@v10.2.0
+        with:
+          github_token: ${{ secrets.GITHUB_TOKEN }}
+          auto_backport_label_prefix: backport-to-
+      - name: Info log
+        if: ${{ success() && fromJSON(steps.check_labels.outputs.matched) > 0 }}
+        run: cat ~/.backport/backport.info.log
+      - name: Debug log
+        if: ${{ failure() && fromJSON(steps.check_labels.outputs.matched) > 0 }}
+        run: cat ~/.backport/backport.debug.log
diff --git a/CHANGES b/CHANGES
index 6a5f5274..de514ace 100644
--- a/CHANGES
+++ b/CHANGES
@@ -201,6 +201,7 @@ Maintenance:
 * Build and publish wheel, see #913 (David Hotham)
 * Use the intended setuptools_scm integration pattern, see #940 (Ronny
   Pfannschmidt)
+* Add backport action, see #1042 (Sergey B Kirpichev)
 
 See the release milestone (1.4) for a complete list of issues and pull requests
 involved in this release.