diff --git a/build-requirements-2.6.txt b/build-requirements-2.6.txt
index 9f39acd0..2d0d14e9 100644
--- a/build-requirements-2.6.txt
+++ b/build-requirements-2.6.txt
@@ -3,3 +3,4 @@ coveralls<1.3.0
 idna<2.8
 unittest2
 hypothesis<3
+coverage==4.5.4
diff --git a/build-requirements-3.3.txt b/build-requirements-3.3.txt
index 28dd401b..9bc44683 100644
--- a/build-requirements-3.3.txt
+++ b/build-requirements-3.3.txt
@@ -5,3 +5,4 @@ wheel<0.30
 virtualenv==15.2.0
 enum34
 hypothesis<3.44
+coverage==4.5.4
diff --git a/build-requirements-3.4.txt b/build-requirements-3.4.txt
new file mode 100644
index 00000000..4d95aae5
--- /dev/null
+++ b/build-requirements-3.4.txt
@@ -0,0 +1,6 @@
+tox
+python-coveralls
+hypothesis
+pytest>=4.6.0
+PyYAML<5.3
+coverage==4.5.4
diff --git a/build-requirements.txt b/build-requirements.txt
index 072f7a9d..a7b75c1a 100644
--- a/build-requirements.txt
+++ b/build-requirements.txt
@@ -2,3 +2,4 @@ tox
 python-coveralls
 hypothesis
 pytest>=4.6.0
+coverage==4.5.4
diff --git a/tox.ini b/tox.ini
index 23d401f9..4c2b030b 100644
--- a/tox.ini
+++ b/tox.ini
@@ -31,7 +31,7 @@ deps =
      py: pytest
      py: hypothesis
      py{33}: wheel<0.30
-     coverage
+     coverage==4.5.4
 commands = coverage run --branch -m pytest {posargs:src/ecdsa}
 
 [testenv:py27_old_gmpy]