Super limited near the fort. Crissy field has more parking available and is a short walk from the fort. There is a price for parking there (abt $7/day)
There is a small parking lot in front of the fort that seemed to have regular traffic flow coming and going. We were able to park there, no charge, and without waiting for about and hour or so while touring the fort (also free). Some cars behind us had to wait a few minutes. Some surfers park there as well. And if you have to park down the street its just a short walk along the coastal rocks and you would be among many others doing the same. Lots of joggers in the area.
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