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Breed, who is vaccinated and boosted, is "feeling well" and will conduct meetings from her home while she isolates, officials said. She will not be attending public events during her isolation period.
No other information was released.
The San Francisco Department of Public Health requires anyone that tests positive to isolate at home for five days, after which they can leave their home if they test negative. Individuals that continue to test positive must isolate at home for 10 days or until they receive a negative test.
The positive test comes just two days after she appeared at the Golden State Warriors' NBA Championship parade on Market Street in San Francisco on Monday.