The crash happened at about 12:20 p.m. at Geary Boulevard and 10th Avenue.
The Honda was traveling north on 10th Avenue when it apparently ran a red light at Geary and struck an eastbound SUV, police Officer Albie Esparza said.
Two other cars were also involved in the crash. Five people were hurt, including a pedestrian who was struck by flying debris, Esparza said.
The driver of the Honda, a 25-year-old man, will be arrested for possession of a stolen vehicle, according to Esparza.
As of 2:15 p.m., Geary Boulevard remained closed in both directions. The silver SUV remained on its roof at the northeast corner of the intersection in front of a Mattress Discounters store. The Honda was nearby with its front end completely smashed in.
Dozens of onlookers had gathered at the fringes of the crash scene, which was cordoned off with police tape.