A new shelter complex, also using tents, was operating Monday near Scholes International Airport and run by Baptist Child and Family Services.
The organization, under contract from the state, is helping care for more than 350 people who relocated Sunday from the previous Red Cross facility.
The first tent city complex, at an old elementary school, opened shortly after Ike slammed Galveston on Sept. 13.
Red Cross disaster administrator Carlos Garcia-Velez says the closure marked the group's end of emergency operations and transition to recovery efforts.