diff --git a/repo2docker/buildpacks/conda/freeze.py b/repo2docker/buildpacks/conda/freeze.py
index c0c4c6e7..0c224c97 100755
--- a/repo2docker/buildpacks/conda/freeze.py
+++ b/repo2docker/buildpacks/conda/freeze.py
@@ -21,8 +21,8 @@ from ruamel.yaml import YAML
 
 # Docker image version can be different than conda version,
 # since miniconda3 docker images seem to lag conda releases.
-MINICONDA_DOCKER_VERSION = "4.5.12"
-CONDA_VERSION = "4.7.10"
+MINICONDA_DOCKER_VERSION = "4.7.12"
+CONDA_VERSION = "4.7.12"
 
 HERE = pathlib.Path(os.path.dirname(os.path.abspath(__file__)))
 
diff --git a/repo2docker/buildpacks/conda/install-miniconda.bash b/repo2docker/buildpacks/conda/install-miniconda.bash
index 738528b1..fae2bbdb 100755
--- a/repo2docker/buildpacks/conda/install-miniconda.bash
+++ b/repo2docker/buildpacks/conda/install-miniconda.bash
@@ -3,11 +3,11 @@
 set -ex
 
 cd $(dirname $0)
-MINICONDA_VERSION=4.7.10
+MINICONDA_VERSION=4.7.12.1
 CONDA_VERSION=4.7.12
 # Only MD5 checksums are available for miniconda
 # Can be obtained from https://repo.continuum.io/miniconda/
-MD5SUM="1c945f2b3335c7b2b15130b1b2dc5cf4"
+MD5SUM="81c773ff87af5cfac79ab862942ab6b3"
 
 URL="https://repo.continuum.io/miniconda/Miniconda3-${MINICONDA_VERSION}-Linux-x86_64.sh"
 INSTALLER_PATH=/tmp/miniconda-installer.sh