diff --git a/.gitignore b/.gitignore
--- a/.gitignore
+++ b/.gitignore
@@ -22,3 +22,4 @@
 *.tar.bz2
 *.tar.lzma
 .tox/
+.mypy_cache/
diff --git a/MANIFEST.in b/MANIFEST.in
--- a/MANIFEST.in
+++ b/MANIFEST.in
@@ -9,3 +9,4 @@
 recursive-include swh/deposit/fixtures *
 recursive-include swh/deposit/templates *
 recursive-include swh/deposit/tests/*/data *
+recursive-include swh py.typed
diff --git a/Makefile.local b/Makefile.local
--- a/Makefile.local
+++ b/Makefile.local
@@ -25,3 +25,10 @@
 
 run:
 	gunicorn3 -b 127.0.0.1:5006 swh.deposit.wsgi
+
+# Override default rule to make sure DJANGO env var is properly set. It
+# *should* work without any override thanks to the mypy django-stubs plugin,
+# but it currently doesn't; see
+# https://github.com/typeddjango/django-stubs/issues/166
+typecheck:
+	DJANGO_SETTINGS_MODULE=swh.deposit.settings.testing $(MYPY) $(MYPYFLAGS) swh
diff --git a/mypy.ini b/mypy.ini
new file mode 100644
--- /dev/null
+++ b/mypy.ini
@@ -0,0 +1,34 @@
+[mypy]
+namespace_packages = True
+warn_unused_ignores = True
+
+
+# support for django magic: https://github.com/typeddjango/django-stubs
+plugins = mypy_django_plugin.main
+
+[mypy.plugins.django-stubs]
+django_settings_module = swh.deposit.settings.testing
+
+
+# 3rd party libraries without stubs (yet)
+
+[mypy-celery.*]
+ignore_missing_imports = True
+
+[mypy-iso8601.*]
+ignore_missing_imports = True
+
+[mypy-pkg_resources.*]
+ignore_missing_imports = True
+
+[mypy-psycopg2.*]
+ignore_missing_imports = True
+
+[mypy-pytest.*]
+ignore_missing_imports = True
+
+[mypy-rest_framework.*]
+ignore_missing_imports = True
+
+[mypy-xmltodict.*]
+ignore_missing_imports = True
diff --git a/requirements-test.txt b/requirements-test.txt
--- a/requirements-test.txt
+++ b/requirements-test.txt
@@ -3,3 +3,4 @@
 swh.scheduler[testing]
 pytest-postgresql >= 2.1.0
 requests_mock
+django-stubs
diff --git a/swh/__init__.py b/swh/__init__.py
--- a/swh/__init__.py
+++ b/swh/__init__.py
@@ -1 +1,4 @@
-__path__ = __import__('pkgutil').extend_path(__path__, __name__)
+from pkgutil import extend_path
+from typing import Iterable
+
+__path__ = extend_path(__path__, __name__)  # type: Iterable[str]
diff --git a/swh/deposit/api/common.py b/swh/deposit/api/common.py
--- a/swh/deposit/api/common.py
+++ b/swh/deposit/api/common.py
@@ -5,6 +5,8 @@
 
 import hashlib
 
+from typing import Any, Tuple
+
 from abc import ABCMeta, abstractmethod
 from django.urls import reverse
 from django.http import HttpResponse
@@ -46,7 +48,7 @@
        authentication check
 
     """
-    authentication_classes = (BasicAuthentication, )
+    authentication_classes = (BasicAuthentication, )  # type: Tuple[Any, ...]
     permission_classes = (IsAuthenticated, )
 
 
diff --git a/swh/deposit/api/private/__init__.py b/swh/deposit/api/private/__init__.py
--- a/swh/deposit/api/private/__init__.py
+++ b/swh/deposit/api/private/__init__.py
@@ -85,8 +85,10 @@
 
         return {'headers': headers}
 
-    def get(self, req, collection_name=None, deposit_id=None, format=None):
+    def get(self, req, collection_name=None, deposit_id=None, format=None,
+            *args, **kwargs):
         return super().get(req, collection_name, deposit_id, format)
 
-    def put(self, req, collection_name=None, deposit_id=None, format=None):
+    def put(self, req, collection_name=None, deposit_id=None, format=None,
+            *args, **kwargs):
         return super().put(req, collection_name, deposit_id, format)
diff --git a/swh/deposit/config.py b/swh/deposit/config.py
--- a/swh/deposit/config.py
+++ b/swh/deposit/config.py
@@ -6,6 +6,8 @@
 import os
 import logging
 
+from typing import Any, Dict, Tuple
+
 from swh.core.config import SWHConfig
 from swh.scheduler import get_scheduler
 
@@ -97,7 +99,7 @@
         })
     }
 
-    ADDITIONAL_CONFIG = {}
+    ADDITIONAL_CONFIG = {}  # type: Dict[str, Tuple[str, Any]]
 
     def __init__(self, **config):
         super().__init__()
diff --git a/swh/deposit/models.py b/swh/deposit/models.py
--- a/swh/deposit/models.py
+++ b/swh/deposit/models.py
@@ -76,7 +76,10 @@
 
     """
     collections = ArrayField(models.IntegerField(), null=True)
-    objects = UserManager()
+    objects = UserManager()  # type: ignore
+    # this typing hint is due to a mypy/django-stubs limitation,
+    # see https://github.com/typeddjango/django-stubs/issues/174
+
     provider_url = models.TextField(null=False)
     domain = models.TextField(null=False)
 
diff --git a/swh/deposit/py.typed b/swh/deposit/py.typed
new file mode 100644
--- /dev/null
+++ b/swh/deposit/py.typed
@@ -0,0 +1 @@
+# Marker file for PEP 561.
diff --git a/swh/deposit/tests/__init__.py b/swh/deposit/tests/__init__.py
--- a/swh/deposit/tests/__init__.py
+++ b/swh/deposit/tests/__init__.py
@@ -67,7 +67,7 @@
 # monkey patch classes method permits to override, for tests purposes,
 # the default configuration without side-effect, i.e do not load the
 # configuration from disk
-SWHDefaultConfig.parse_config_file = parse_deposit_config_file
-BufferedLoader.parse_config_file = parse_loader_config_file
+SWHDefaultConfig.parse_config_file = parse_deposit_config_file  # type: ignore
+BufferedLoader.parse_config_file = parse_loader_config_file  # type: ignore
 
 setup_django_for('testing')
diff --git a/swh/deposit/tests/api/test_deposit_delete.py b/swh/deposit/tests/api/test_deposit_delete.py
--- a/swh/deposit/tests/api/test_deposit_delete.py
+++ b/swh/deposit/tests/api/test_deposit_delete.py
@@ -6,7 +6,7 @@
 from collections import defaultdict
 from django.urls import reverse
 from rest_framework import status
-from typing import Mapping
+from typing import Dict, Mapping
 
 from swh.deposit.config import (
     EDIT_SE_IRI, EM_IRI, ARCHIVE_KEY, METADATA_KEY,
@@ -17,7 +17,7 @@
 
 
 def count_deposit_request_types(deposit_requests) -> Mapping[str, int]:
-    deposit_request_types = defaultdict(int)
+    deposit_request_types = defaultdict(int)  # type: Dict[str, int]
     for dr in deposit_requests:
         deposit_request_types[dr.type] += 1
     return deposit_request_types
diff --git a/swh/deposit/tests/conftest.py b/swh/deposit/tests/conftest.py
--- a/swh/deposit/tests/conftest.py
+++ b/swh/deposit/tests/conftest.py
@@ -50,7 +50,7 @@
        Used to initialize the deposit's server db.
 
     """
-    import project.app.signals
+    import project.app.signals  # type: ignore
 
     def prepare_db(*args, **kwargs):
         from django.conf import settings
diff --git a/swh/deposit/tests/loader/conftest.py b/swh/deposit/tests/loader/conftest.py
--- a/swh/deposit/tests/loader/conftest.py
+++ b/swh/deposit/tests/loader/conftest.py
@@ -17,7 +17,7 @@
 from swh.deposit.loader.loader import DepositLoader
 
 
-@pytest.fixture(scope='session')
+@pytest.fixture(scope='session')  # type: ignore  # expected redefinition
 def celery_includes():
     return [
         'swh.deposit.loader.tasks',
diff --git a/tox.ini b/tox.ini
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist=flake8,py3
+envlist=flake8,mypy,py3
 
 [testenv:py3]
 deps =
@@ -29,3 +29,12 @@
 commands =
   {envpython} -m flake8 \
     --exclude=.tox,.git,__pycache__,.tox,.eggs,*.egg,swh/deposit/migrations
+
+[testenv:mypy]
+setenv = DJANGO_SETTINGS_MODULE = swh.deposit.settings.testing
+skip_install = true
+deps =
+  .[testing]
+  mypy
+commands =
+  mypy swh