diff --git a/CONTRIBUTORS b/CONTRIBUTORS
--- a/CONTRIBUTORS
+++ b/CONTRIBUTORS
@@ -1 +1,2 @@
 Thibault Allançon
+Franck Bret
diff --git a/swh/core/tarball.py b/swh/core/tarball.py
--- a/swh/core/tarball.py
+++ b/swh/core/tarball.py
@@ -87,6 +87,27 @@
         )
 
 
+def _unpack_zst(zstpath: str, extract_dir: str) -> str:
+    """Unpack zst files unsupported by the standard python library. Example
+    include tar.zst
+
+    This expects the `extract_dir` to exist.
+
+    Raises:
+        shutil.ReadError in case of issue uncompressing the archive (zstpath
+    """
+    try:
+        run(
+            ["tar", "--force-local", "-I 'zstd'", "-xf", zstpath, "-C", extract_dir],
+            check=True,
+        )
+        return extract_dir
+    except Exception as e:
+        raise shutil.ReadError(
+            f"Unable to uncompress {zstpath} to {extract_dir}. Reason: {e}"
+        )
+
+
 def register_new_archive_formats():
     """Register new archive formats to uncompress"""
     registered_formats = [f[0] for f in shutil.get_unpack_formats()]
@@ -104,6 +125,8 @@
     "application/x-lzip": "tar.lz",
     "application/zip": "zip",
     "application/java-archive": "jar",
+    "application/zstd": "tar.zst",
+    "application/x-zstd": "tar.zst",
 }
 
 
@@ -221,6 +244,7 @@
     # FIXME: make this optional depending on the runtime lzip package install
     ("tar.lz", [".tar.lz"], _unpack_tar),
     ("crate", [".crate"], _unpack_tar),
+    ("tar.zst", [".tar.zst", ".tar.zstd"], _unpack_zst),
 ]
 
 register_new_archive_formats()
diff --git a/swh/core/tests/data/archives/ca-certificates-20210603-1-any.pkg.tar.zst b/swh/core/tests/data/archives/ca-certificates-20210603-1-any.pkg.tar.zst
new file mode 100644
index 0000000000000000000000000000000000000000..0000000000000000000000000000000000000000
GIT binary patch
literal 0
Hc$@<O00001

literal 0
Hc$@<O00001

diff --git a/swh/core/tests/test_tarball.py b/swh/core/tests/test_tarball.py
--- a/swh/core/tests/test_tarball.py
+++ b/swh/core/tests/test_tarball.py
@@ -138,6 +138,20 @@
     assert len(os.listdir(extract_dir)) > 0
 
 
+def test_uncompress_tarzst(tmp_path, datadir):
+    """Unpack supported zst tarball into an existent folder should be ok"""
+    filename = "ca-certificates-20210603-1-any.pkg.tar.zst"
+    tarpath = os.path.join(datadir, "archives", filename)
+
+    assert os.path.exists(tarpath)
+
+    extract_dir = os.path.join(tmp_path, filename)
+
+    tarball.uncompress(tarpath, extract_dir)
+
+    assert len(os.listdir(extract_dir)) > 0
+
+
 def test_register_new_archive_formats(prepare_shutil_state):
     """Registering new archive formats should be fine"""
     unpack_formats_v1 = [f[0] for f in shutil.get_unpack_formats()]