diff --git a/.gitignore b/.gitignore
index 26f7f0a..42fd999 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,7 +1,8 @@
 swh-*/
 packages/*
 snippets/
 !packages/README
 !packages/keys/
 
 .venv
+.mypy_cache
diff --git a/Makefile b/Makefile
index ebfac09..4bd00a7 100644
--- a/Makefile
+++ b/Makefile
@@ -1,44 +1,47 @@
 PYMODULES := $(shell bin/ls-py-modules)
 DB_MODULES = swh-storage swh-archiver swh-scheduler swh-indexer swh-scheduler/sql/updater
 DOC_MODULE = swh-docs
 
 all:
 
 # TODO this is too close to "docs" below, but is meant to go away anyhow, when
 # the dependency graph stuff will migrate to the swh-docs/ module
 .PHONY: doc
 doc:
 	make -C doc/
 
 check: $(patsubst %,check/%,$(PYMODULES))
+typecheck: $(patsubst %,typecheck/%,$(PYMODULES))
 distclean: $(patsubst %,distclean/%,$(PYMODULES))
 test: $(patsubst %,test/%,$(PYMODULES))
 
 docs: $(patsubst %,docs/%,$(filter-out $(DOC_MODULE),$(PYMODULES)))
 docs-assets: $(patsubst %,docs-assets/%,$(filter-out $(DOC_MODULE),$(PYMODULES)))
 docs-apidoc: $(patsubst %,docs-apidoc/%,$(filter-out $(DOC_MODULE),$(PYMODULES)))
 docs-clean: $(patsubst %,docs-clean/%,$(filter-out $(DOC_MODULE),$(PYMODULES)))
 
 check/%:
 	make -C $* check
+typecheck/%:
+	make -C $* typecheck
 distclean/%:
 	make -C $* distclean
 test/%:
 	make -C $* test
 
 docs/%:
 	make -C $*/docs
 docs-assets/%:
 	make -C $*/docs assets
 docs-apidoc/%:
 	make -C $*/docs apidoc
 docs-clean/%:
 	make -C $*/docs clean
 
 .PHONY: update clean
 update:
 	git pull
 	mr up
 
 clean:
 	make -C doc/ clean
diff --git a/Makefile.python b/Makefile.python
index bd0e847..837c935 100644
--- a/Makefile.python
+++ b/Makefile.python
@@ -1,55 +1,60 @@
 #    -*- mode: Makefile -*-
 
 PYMODULE := $(shell basename `pwd` | sed 's/-/./g')
 PYDIR := $(shell basename `pwd` | sed 's%-%/%g')
 
 PYTHON_BIN := $(shell test -d bin/ && find bin/ -type f -executable | xargs egrep -H '^\#.*python' | cut -f 1 -d :)
 TEST_DIRS := .
 
 TEST = python3 -m pytest
 TESTFLAGS =
 CODESPELL = codespell
 CODESPELLFLAGS =
 FLAKE = python3 -m flake8
 FLAKEFLAGS =
 LINT = pylint3
 LINTFLAGS = --rcfile=../pylintrc
+MYPY = mypy
+MYPYFLAGS = --config-file ../mypy.ini
 
 all:
 
 .PHONY: test
 test:
 	$(TEST) $(TESTFLAGS) $(TEST_DIRS)
 
 .PHONY: coverage
 coverage:
 	$(TEST) $(TESTFLAGS) --cov=$(PYMODULE) --cov-branch $(TEST_DIRS)
 
 .PHONY: check check-flake check-codespell
 check: check-flake check-codespell
 check-flake:
 	$(FLAKE) $(FLAKEFLAGS) swh $(PYTHON_BIN)
 check-codespell:
 	find swh docs -name '*.py' -o -name '*.rst' | xargs -r $(CODESPELL) $(CODESPELLFLAGS)
 	find . -maxdepth 1 -iname 'readme*' | xargs -r $(CODESPELL) $(CODESPELLFLAGS)
+typecheck:
+	@echo PYTHONPATH=... $(MYPY) $(MYPYFLAGS) -p $(PYMODULE)
+	@MYPYPATH=$(shell bash ../pythonpath.sh --print) $(MYPY) $(MYPYFLAGS) -p $(PYMODULE)
 
 .PHONY: check-staged
 check-staged:
 	git diff -z --staged --name-only -- '*.py' $(PYTHON_BIN) \
 		| xargs -0 -L1 -i'{}' /bin/sh -c \
 		"git show ':{}' | $(FLAKE) $(FLAKEFLAGS) --stdin-display-name '{}' -"
 
 .PHONY: lint
 lint:
 	$(LINT) $(LINTFLAGS) $(PYMODULE)
 
 .PHONY: docs
 docs:
 	make -C docs
 
 .PHONY: distclean
 # clean up Python bytecode files. Also consider random *.pyc files, in case
 # Python 2.x has been run by mistake
 distclean:
 	find . -type d -name __pycache__ | xargs rm -rf
 	find . -type f -name '*.pyc' -delete
diff --git a/mypy.ini b/mypy.ini
new file mode 100644
index 0000000..ecf0a75
--- /dev/null
+++ b/mypy.ini
@@ -0,0 +1,52 @@
+[mypy]
+cache_dir = ../.mypy_cache
+namespace_packages = True
+warn_unused_ignores = True
+
+
+# 3rd party libraries without stubs (yet)
+
+[mypy-aiohttp_utils.*]
+ignore_missing_imports = True
+
+[mypy-azure.*]
+ignore_missing_imports = True
+
+[mypy-arrow.*]
+ignore_missing_imports = True
+
+[mypy-celery.*]
+ignore_missing_imports = True
+
+[mypy-decorator.*]
+ignore_missing_imports = True
+
+[mypy-deprecated.*]
+ignore_missing_imports = True
+
+[mypy-libcloud.*]
+ignore_missing_imports = True
+
+[mypy-msgpack.*]
+ignore_missing_imports = True
+
+[mypy-pkg_resources.extern.*]
+ignore_missing_imports = True
+
+[mypy-psycopg2.*]
+ignore_missing_imports = True
+
+[mypy-pyblake2.*]
+ignore_missing_imports = True
+
+[mypy-pytest.*]
+ignore_missing_imports = True
+
+[mypy-rados.*]
+ignore_missing_imports = True
+
+[mypy-request_mock.*]
+ignore_missing_imports = True
+
+[mypy-systemd.*]
+ignore_missing_imports = True