The shooting happened at Exhale Hookah Lounge on East Exchange Street around 11:15 p.m, reports News 5 Cleveland.
Police told the news website that the victims were men between 20 and 41 years old.
The victims were shifted to a local hospital for treatment.
Their condition is not said to be life-threatening.
Police told Fox 8 that according to preliminary info, an unknown suspect, described as a taller, heavy-set male, fired multiple shots during an altercation.