diff --git a/.gitignore b/.gitignore
index 816aff376fc83..f4f64aac23905 100644
--- a/.gitignore
+++ b/.gitignore
@@ -61,6 +61,7 @@ dist
 .coverage
 coverage.xml
 coverage_html_report
+.mypy_cache
 *.pytest_cache
 # hypothesis test database
 .hypothesis/
diff --git a/azure-pipelines.yml b/azure-pipelines.yml
index 6c30ec641f292..9b1b17b453af3 100644
--- a/azure-pipelines.yml
+++ b/azure-pipelines.yml
@@ -88,6 +88,13 @@ jobs:
     displayName: 'Docstring validation'
     condition: true
 
+  - script: |
+      export PATH=$HOME/miniconda3/bin:$PATH
+      source activate pandas-dev
+      ci/code_checks.sh typing
+    displayName: 'Typing validation'
+    condition: true
+
   - script: |
       export PATH=$HOME/miniconda3/bin:$PATH
       source activate pandas-dev
diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index 658c2bc50e87b..9f3ded88b5e7d 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -16,9 +16,10 @@
 #   $ ./ci/code_checks.sh doctests      # run doctests
 #   $ ./ci/code_checks.sh docstrings    # validate docstring errors
 #   $ ./ci/code_checks.sh dependencies  # check that dependencies are consistent
+#   $ ./ci/code_checks.sh typing	# run static type analysis
 
-[[ -z "$1" || "$1" == "lint" || "$1" == "patterns" || "$1" == "code" || "$1" == "doctests" || "$1" == "docstrings" || "$1" == "dependencies" ]] || \
-    { echo "Unknown command $1. Usage: $0 [lint|patterns|code|doctests|docstrings|dependencies]"; exit 9999; }
+[[ -z "$1" || "$1" == "lint" || "$1" == "patterns" || "$1" == "code" || "$1" == "doctests" || "$1" == "docstrings" || "$1" == "dependencies" || "$1" == "typing" ]] || \
+    { echo "Unknown command $1. Usage: $0 [lint|patterns|code|doctests|docstrings|dependencies|typing]"; exit 9999; }
 
 BASE_DIR="$(dirname $0)/.."
 RET=0
@@ -256,4 +257,16 @@ if [[ -z "$CHECK" || "$CHECK" == "dependencies" ]]; then
 
 fi
 
+### TYPING ###
+if [[ -z "$CHECK" || "$CHECK" == "typing" ]]; then
+
+    echo "mypy --version"
+    mypy --version
+
+    MSG='Performing static analysis using mypy' ; echo $MSG
+    mypy pandas
+    RET=$(($RET + $?)) ; echo $MSG "DONE"
+fi
+
+
 exit $RET
diff --git a/environment.yml b/environment.yml
index 41f013c52041c..1d7c8b96216e3 100644
--- a/environment.yml
+++ b/environment.yml
@@ -19,6 +19,7 @@ dependencies:
   - hypothesis>=3.82
   - isort
   - moto
+  - mypy
   - pycodestyle
   - pytest>=4.0.2
   - pytest-mock
diff --git a/mypy.ini b/mypy.ini
new file mode 100644
index 0000000000000..b7dbf390fa8c9
--- /dev/null
+++ b/mypy.ini
@@ -0,0 +1,201 @@
+[mypy]
+ignore_missing_imports=True
+follow_imports=silent
+
+[mypy-pandas.conftest,pandas.tests.*]
+ignore_errors=True
+
+[mypy-pandas._config.config]
+ignore_errors=True
+
+[mypy-pandas._version]
+ignore_errors=True
+
+[mypy-pandas.compat]
+ignore_errors=True
+
+[mypy-pandas.compat.numpy.function]
+ignore_errors=True
+
+[mypy-pandas.compat.pickle_compat]
+ignore_errors=True
+
+[mypy-pandas.core.accessor]
+ignore_errors=True
+
+[mypy-pandas.core.api]
+ignore_errors=True
+
+[mypy-pandas.core.apply]
+ignore_errors=True
+
+[mypy-pandas.core.arrays.array_]
+ignore_errors=True
+
+[mypy-pandas.core.arrays.datetimelike]
+ignore_errors=True
+
+[mypy-pandas.core.arrays.integer]
+ignore_errors=True
+
+[mypy-pandas.core.arrays.interval]
+ignore_errors=True
+
+[mypy-pandas.core.arrays.numpy_]
+ignore_errors=True
+
+[mypy-pandas.core.arrays.period]
+ignore_errors=True
+
+[mypy-pandas.core.arrays.sparse]
+ignore_errors=True
+
+[mypy-pandas.core.arrays.timedeltas]
+ignore_errors=True
+
+[mypy-pandas.core.base]
+ignore_errors=True
+
+[mypy-pandas.core.computation.expr]
+ignore_errors=True
+
+[mypy-pandas.core.computation.ops]
+ignore_errors=True
+
+[mypy-pandas.core.computation.pytables]
+ignore_errors=True
+
+[mypy-pandas.core.config]
+ignore_errors=True
+
+[mypy-pandas.core.config_init]
+ignore_errors=True
+
+[mypy-pandas.core.dtypes.dtypes]
+ignore_errors=True
+
+[mypy-pandas.core.dtypes.missing]
+ignore_errors=True
+
+[mypy-pandas.core.frame]
+ignore_errors=True
+
+[mypy-pandas.core.generic]
+ignore_errors=True
+
+[mypy-pandas.core.groupby.generic]
+ignore_errors=True
+
+[mypy-pandas.core.groupby.groupby]
+ignore_errors=True
+
+[mypy-pandas.core.groupby.ops]
+ignore_errors=True
+
+[mypy-pandas.core.indexes.base]
+ignore_errors=True
+
+[mypy-pandas.core.indexes.datetimelike]
+ignore_errors=True
+
+[mypy-pandas.core.indexes.datetimes]
+ignore_errors=True
+
+[mypy-pandas.core.indexes.period]
+ignore_errors=True
+
+[mypy-pandas.core.indexes.timedeltas]
+ignore_errors=True
+
+[mypy-pandas.core.indexing]
+ignore_errors=True
+
+[mypy-pandas.core.internals.blocks]
+ignore_errors=True
+
+[mypy-pandas.core.ops]
+ignore_errors=True
+
+[mypy-pandas.core.panel]
+ignore_errors=True
+
+[mypy-pandas.core.resample]
+ignore_errors=True
+
+[mypy-pandas.core.reshape.concat]
+ignore_errors=True
+
+[mypy-pandas.core.reshape.merge]
+ignore_errors=True
+
+[mypy-pandas.core.reshape.reshape]
+ignore_errors=True
+
+[mypy-pandas.core.reshape.tile]
+ignore_errors=True
+
+[mypy-pandas.core.series]
+ignore_errors=True
+
+[mypy-pandas.core.sparse.frame]
+ignore_errors=True
+
+[mypy-pandas.core.strings]
+ignore_errors=True
+
+[mypy-pandas.core.util.hashing]
+ignore_errors=True
+
+[mypy-pandas.core.window]
+ignore_errors=True
+
+[mypy-pandas.io.clipboards]
+ignore_errors=True
+
+[mypy-pandas.io.feather_format]
+ignore_errors=True
+
+[mypy-pandas.io.formats.css]
+ignore_errors=True
+
+[mypy-pandas.io.html]
+ignore_errors=True
+
+[mypy-pandas.io.json.json]
+ignore_errors=True
+
+[mypy-pandas.io.json.normalize]
+ignore_errors=True
+
+[mypy-pandas.io.json.table_schema]
+ignore_errors=True
+
+[mypy-pandas.io.packers]
+ignore_errors=True
+
+[mypy-pandas.io.parquet]
+ignore_errors=True
+
+[mypy-pandas.io.pytables]
+ignore_errors=True
+
+[mypy-pandas.io.stata]
+ignore_errors=True
+
+[mypy-pandas.plotting._core]
+ignore_errors=True
+
+[mypy-pandas.tseries.frequencies]
+ignore_errors=True
+
+[mypy-pandas.tseries.holiday]
+ignore_errors=True
+
+[mypy-pandas.tseries.offsets]
+ignore_errors=True
+
+[mypy-pandas.util._doctools]
+ignore_errors=True
+
+[mypy-pandas.util.testing]
+ignore_errors=True
diff --git a/pandas/core/internals/blocks.py b/pandas/core/internals/blocks.py
index c1ba146ba0c9a..4c9ff0c7074d8 100644
--- a/pandas/core/internals/blocks.py
+++ b/pandas/core/internals/blocks.py
@@ -1827,10 +1827,9 @@ def interpolate(self, method='pad', axis=0, inplace=False, limit=None,
             placement=self.mgr_locs)
 
     def shift(self,
-              periods,                  # type: int
-              axis=0,                   # type: libinternals.BlockPlacement
-              fill_value=None):         # type: Any
-        # type: (...) -> List[ExtensionBlock]
+              periods: int,
+              axis: libinternals.BlockPlacement = 0,
+              fill_value: Any = None) -> List['ExtensionBlock']:
         """
         Shift the block by `periods`.
 
diff --git a/requirements-dev.txt b/requirements-dev.txt
index ccf2301dad66b..e3034cb99ee80 100644
--- a/requirements-dev.txt
+++ b/requirements-dev.txt
@@ -10,6 +10,7 @@ gitpython
 hypothesis>=3.82
 isort
 moto
+mypy
 pycodestyle
 pytest>=4.0.2
 pytest-mock