The incident happened just before 4:00 p.m. at the Bank of America located inside a ShopRite store in the 3700 block of Aramingo Avenue in the city's Port Richmond section.
Police say the suspect handed a teller a demand note but eventually fled the bank on foot without receiving any money.
There were no injuries reported.
The suspect is described as a black male in his 20's, approximately 5'10" tall, medium build, dark complexion, with a goatee. He was seen wearing a black t-shirt and a black Brooklyn Nets baseball cap.
He is considered armed and dangerous.
Anyone with information about this robbery attempt or the suspect is urged to call the police or FBI at 215-418-4000