Ho Chi Minh City (or HCMC) is the official name of the city. It has been called Saigon for centuries, but the name was changed from Saigon to Ho Chi Minh in 1975 at the end of the Vietnam war. A lot of people still call the city Saigon as it is shorter and easier. The airport code is even SGN still! However, all official written documentation should only list Ho Chi Minh City.