The Citizen Bank branch at the intersection of Bell Street and state Route 306 in the Village of South Russell was robbed at approximately 1 p.m. Wednesday.
No one was injured and the suspect fled the scene with an undetermined amount of cash, South Russell police said.
The suspect, who is described as an African-American woman, did not brandish a weapon.
Police said she matches the description of a suspect in a bank robbery in another Cleveland suburb.
Officers from Russell Township and the Village of Chagrin Falls responded to the scene and were released around 3 p.m.