diff --git a/Dockerfile b/Dockerfile
index 62419ca..e80fcc4 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -6,6 +6,17 @@ RUN apk update && \
     pip install --upgrade pip && \
     mkdir -p /srv/pypi
 
+# Install packages wich have build dependencies, remove them after installation
+# because they are not required during runtime.
+RUN apk add --no-cache --virtual .build-deps \
+        gcc \
+        libc-dev \
+        libffi-dev \
+        python-dev && \
+    pip install bcrypt && \
+    apk del --no-cache .build-deps && \
+    rm /var/cache/apk/*
+
 RUN pip install -U passlib pypiserver[cache]==1.2.1
 
 EXPOSE 80