Transfer as in (a) from a server to a server (b) from a server to a client machine? For (a) there are plugins that do this, for (b) a git clone with subsequent git pulls and pushes (http://git-scm.com/doc)
If you are trying to move a repo from one Project to another, you can do that under Settings - there is a "Move Repository" button in the upper right corner.
git clone from source repo
git push to target repo
As Rich notes, and as the variety of answers (each of which is correct in its own context) suggests, the question isn't entirely clear...
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