Depending on the url you are using (https or ssh), you need first to make sure the git push from the console doesn't ask you for a password, because you have cached your credentials:
in a
~/.netrc
(or%HOME%/netrc
for windows), that you can encrypt if you want to.
This is more secure than putting directly the password in the url:https://username:password@server/url/to/git/repo
in an
ssh-agent
(for the passphrase to be set automatically for you)
Once that works, try again to push from Aptana, as mentioned in "How to get Aptana Studio to remember git ssh password"