The tanker, named the Overseas Reymar, hit the bridge’s western span at around 11:30 a.m.
Officials say the tanker was empty at the time of the accident.
There were no reports of damage or injuries.
On Nov. 7, 2007, a container ship slammed into a support on the bridge, ripping a gash in its side and rupturing its fuel tanks.
More than 53,000 gallons of fuel oil poured into the bay, killing more than 6,800 birds and closing beaches to swimmers for weeks.