You would need, in command-line, to fetch tags
git fetch --tags upstream
Assuming upstream is the remote name referencing the original repository URL.
(If not yet defined: git remote add upstream https://github.com/original/repository).
Then push tags to your fork
git push --tags
If you want to push only the tags from the branch you are pushing:
git config --global push.followTags true
That way, a simple git push is enough.