Gascon says Tasers would give his officers another option in situations where they need to use force.
The chief pointed to studies showing Tasers reduce injuries to suspects and to officers.
He says that is important considering 107 officers were injured during altercations last year.
"The city has spent over a million dollars in workers' comp cases and it is anticipated that these cases will cost the city on the works' comp alone part of it, over $2.25 million," said Gascon.
Last week, the San Francisco Police Commission voted four to three not to study the use of Tasers. Critics say Tasers are dangerous.
Amnesty International claims there have been hundreds of stun-gun related fatalities in the U.S.