The incident happened when the bus was in front of 52 West 14 Street at around 1:30 pm on March 24, police said on Sunday.
The woman was said to have exchanged words with the driver, then punched the driver in the face repeatedly and fled.
The driver suffered pain and swelling, but refused medical attention at the scene, according to police.
Anyone with information is asked to call NYPD’s Hotlines stop crime now 1-800-577-8477 or for Spanish, 1-888-577-4782. Tips can also be sent to NYPDTips Twitter account or post online now NYPDCrimeStoppers.com.