The Global House building in tambon Chaniaeng of Muang district collapsed about 5pm on Tuesday.
The front steel structure caved-in, tumbling to the ground and crushing six people to death.
Three of the dead were the store’s employees - Sakchai Prajuchan, Rob Chusrikhao and Yo Saengprasert - and the other three all customers from the same family - Charan Phetnok, his pregnant wife Suthathip Oukard and his daughter Mathurot Phetnok.
All six viuctims were waiting to be picked up outside the store.
Surin governor Niran Kalayanamit has appointed a fact-finding committee to determine if the building's collapse was caused by the storm or a structural failure.