diff --git a/.appveyor.yml b/.appveyor.yml
index c1360115..3c55686d 100644
--- a/.appveyor.yml
+++ b/.appveyor.yml
@@ -9,8 +9,8 @@ environment:
   PYPI_PASS:
     secure: gqNQRQIXkXmSul5JkOKj4owHUprr3Q4gJ6U6Mtlgm4M=
   matrix:
-  - CONDA: 35
   - CONDA: 36
+  - CONDA: 37
 install:
 - git submodule update -q --init --recursive
 - ps: |
@@ -29,6 +29,7 @@ build_script:
 - mkdir build && cd build && cmake -A "%CMAKE_ARCH%" -DPB_WERROR=ON -DPB_NATIVE_SIMD=OFF ..
 - cmake --build . --config Release -- /m /v:m /logger:"%AppVeyorLogger%"
 test_script:
+- activate base
 - cmake --build . --config Release --target tests -- /v:m
 deploy_script:
 - ps: |
diff --git a/.readthedocs.yml b/.readthedocs.yml
index 2303b262..0f9d9166 100644
--- a/.readthedocs.yml
+++ b/.readthedocs.yml
@@ -1,4 +1,4 @@
 python:
-  version: 3.5
+  version: 3.7
   setup_py_install: true
 requirements_file: support/rtd_requirements.txt
diff --git a/.travis.yml b/.travis.yml
index 7f99da7c..144d4fe9 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -9,19 +9,25 @@ matrix:
   include:
   - os: linux
     compiler: gcc-4.8
-    env: PYTHON=3.5
+    env: PYTHON=3.6
+  - os: linux
+    compiler: gcc-4.8
+    env: PYTHON=3.7
   - os: linux
     compiler: gcc-4.8
+    env: PYTHON=3.8
+  - os: osx
+    osx_image: xcode7.3
     env: PYTHON=3.6
   - os: osx
     osx_image: xcode7.3
-    env: PYTHON=3.5
+    env: PYTHON=3.7
   - os: osx
     osx_image: xcode7.3
-    env: PYTHON=3.6
+    env: PYTHON=3.8
   - os: linux
     compiler: gcc-4.8
-    env: PYTHON=3.6 SDIST DEBUG
+    env: PYTHON=3.7 SDIST DEBUG
     install:
     # call cmake first to download dependencies which will be included in the sdist
     - (mkdir build && cd build && cmake -DPYTHON_EXECUTABLE=$(which python) ..)
diff --git a/changelog.md b/changelog.md
index e0eb028b..fb0d3206 100644
--- a/changelog.md
+++ b/changelog.md
@@ -10,6 +10,9 @@
   [#21](https://github.com/dean0x7d/pybinding/issues/21), and 
   [#23](https://github.com/dean0x7d/pybinding/issues/23).
 
+* Dropped support for Python 3.5. You must have Python 3.6 or newer to install this version.
+
+
 ## v0.9.4 | 2017-07-13
 
 * Fixed issues with multi-orbital models: matrix onsite terms were not set correctly if all the
diff --git a/docs/benchmarks/system_build.py b/docs/benchmarks/system_build.py
index 40b585f5..eb29dba2 100755
--- a/docs/benchmarks/system_build.py
+++ b/docs/benchmarks/system_build.py
@@ -5,7 +5,7 @@
 The considered system sizes can be changed in the `__name__ == '__main__'` section at
 the bottom.
 
-Requires Python >= 3.5 and the following packages which can be installed using pip:
+Requires Python >= 3.6 and the following packages which can be installed using pip:
   - memory_profiler
   - psutil (memory_profiler will be slow without it)
 
diff --git a/docs/install/index.rst b/docs/install/index.rst
index c5f9d565..535b7992 100644
--- a/docs/install/index.rst
+++ b/docs/install/index.rst
@@ -3,7 +3,7 @@ Installation
 
 Pybinding can be installed on Windows, Linux or Mac, with the following prerequisites:
 
-* `Python`_ 3.5 or newer (Python 2.x is not supported)
+* `Python`_ 3.6 or newer (Python 2.x is not supported)
 * The `SciPy`_ stack of scientific packages, with required versions:
 
   * numpy >= v1.12
diff --git a/readme.md b/readme.md
index bca7565d..b817726b 100644
--- a/readme.md
+++ b/readme.md
@@ -34,7 +34,7 @@ See the [documentation] for more details.
 
 Pybinding can be installed on Windows, Linux or Mac, with the following prerequisites:
 
-* [Python] 3.5 or newer (Python 2.x is not supported)
+* [Python] 3.6 or newer (Python 2.x is not supported)
 * The [SciPy] stack of scientific packages, with required versions:
   * numpy >= v1.12
   * scipy >= v0.19
diff --git a/setup.py b/setup.py
index 7e25a77c..0fdde969 100644
--- a/setup.py
+++ b/setup.py
@@ -12,8 +12,8 @@
 from setuptools.command.egg_info import manifest_maker
 
 
-if sys.version_info[:2] < (3, 5):
-    print("Python >= 3.5 is required.")
+if sys.version_info[:2] < (3, 6):
+    print("Python >= 3.6 is required.")
     sys.exit(-1)
 
 
@@ -118,8 +118,9 @@ def changelog():
         'License :: OSI Approved :: BSD License',
         'Programming Language :: C++',
         'Programming Language :: Python :: 3 :: Only',
-        'Programming Language :: Python :: 3.5',
         'Programming Language :: Python :: 3.6',
+        'Programming Language :: Python :: 3.7',
+        'Programming Language :: Python :: 3.8',
         'Programming Language :: Python :: Implementation :: CPython',
     ],