To stop feeling angry or resentful towards someone for an offense, flaw, or mistake. She decided to forgive him for his past mistakes.
To cancel a debt or obligation. The bank agreed to forgive a portion of the loan.
To absolve a person of sin or wrongdoing, especially in a religious or moral context. In many traditions, only a deity can forgive sins.
Used in polite expressions to apologize or ask someone to excuse what one is about to say or has done. Forgive me for interrupting, but could you clarify that point?