to add money to a bank account [≠ debit]
The cheque has been credited to your account.
For some reason my account's been credited with an extra $76.
to believe or admit that someone has a quality, or has done something good:
Do credit me with a little intelligence!
Evans is credited with inventing the system.
if something is credited to someone or something, they have achieved it or are the reason for it:
Much of Manchester United's success can be credited to their manager.
to believe that something is true
difficult/hard/impossible etc to credit
We found his statement hard to credit.