You can create a tag on the local branch and you must push the tag to the remote.
Command line
> git tag …
> git push --tags
TortoiseGit
- Create tag
- set tag name
- set tag/branch/version
- enter message
- Sync/Push
- Select Push tags instead of Push button in the dropdown
Git Extensions
- Browse
- Right click on the commit log you want to tag
- Select Create new tag
- Enter data
- Push
- Select Push tags tab