The fire was first reported around 9:50pm Friday at Museum Tower on Montrose near Milford in the Museum District.
According to the Houston Fire Department, some furniture on the balcony of an apartment on the 13th floor of the building caught fire.
The blaze prompted the evacuation of the 13th floor until firefighters arrived and extinguished the flames.
The fire did not spread inside the unit because the balcony is made of concrete. The people who live there were at home, but they did not know how it started.
Arson is investigating.