The incident happened at May Street on Monday, July 13.
Police said the officer was punched in the face and knocked to the ground, before she was punched again.
Another police officer sustained a hand injury when he went to her aid.
The man and woman are due to appear at Belfast Magistrates’ Court this morning for a first remand hearing.
They have also been charged with assault and disorderly behaviour.
The two police officers were among five assaulted in Belfast city centre on Monday.