Fire crews say a third floor apartment was filled with flames and smoke when they arrived.
They say that 911 received a telephone call and building alarm at 10:25am.
Firefighters had to help rescue at least 2 adults and one child from a neighboring apartment.
They were led outside throughout the stairwell.
Rochester Interim Fire Chief Sam Mitrano said that crews got the fire under control in 35 minutes with 55 firefighters on scene.
He said the fire was contained to just the one apartment, but the apartment was destroyed.
He would not comment on how many people were inside the apartment at the time of the fire, but did say it was occupied.
A man, Darrell Franklin, told News 8 that his wife, Ebony Franklin, lives in the apartment that caught fire.
He said he does not live there with them.
But he said that he was on the phone with his wife prior to the fire.
He said his wife told him she had gone to take a shower but then she called him back to say that there was a fire in the apartment.
He said two of his four children, ages 3 and 4, were also inside the apartment.
Franklin said when he arrived at the apartment fire was escaping from the windows.
Fire crews said no one was hurt and they are still trying to determine a cause.
Pathstone, a local non-profit community development and human service organization, owns the apartment building.
President Stuart Mitchell told News 8 that it is working to find out how many tenants can return to their apartments.
He said all but 4 apartments are still livable.
The American Red Cross is expected to help find housing for those families that can not return home.