The Hua Mark police station was alerted at 1.30am about the fire at the living quarters on Soi Ramkhamhaeng 24/1 near the Sports Authority of Thailand's head office.
Firemen took about 30 minutes to control the blaze, which destroyed five of six connected two-storey residences.
All the tenants managed to flee in time and one was injured.
Police suspect that the fire was caused by a short circuit.