The pedestrian, whose name has not been released by the medical examiner's office, died at a hospital at 5:20 a.m. of the injuries she suffered in the July 15 collision, Officer Albie Esparza said.
Police were called to the intersection around 8:30 a.m. and found the woman suffering from a life-threatening head injury, Esparza said.
An investigation revealed that the bicyclist had run a red light, hitting the woman as she was crossing the street legally, he said. The bicyclist was questioned at the scene before being released.
Esparza said police will present the case to the San Francisco's District Attorney's Office to determine if charges will be filed.
Esparza said after the collision that the bicyclist could face the same legal repercussions as the driver of any car involved in a collision with a pedestrian.
"Every bicyclist in the city should be reminded each and every day that all the laws on the books apply to them, too," Esparza said. "They need to stop at every stop sign and every stop light."