The agency leasing the Treasure Island space where the barge is being built says the four-story vessel is bound for the Port of Stockton, a destination located about 80 miles east of San Francisco.
The Treasure Island Development Authority says it has been notified the barge will move by March 7.
Google Inc. and the Port of Stockton didn't immediately respond to requests for comment.
The barge is leaving because of a Jan. 31 regulatory order concluding that Google didn't have the proper building permits at Treasure Island.
Google says the barge will become a floating technology center once it's done.
The arrest of teenager last week by nine Stockton police officers was captured on cellphone video and has gone viral with more than half a million views and has triggered an internal investigation.
Stockton Police cracked down hard on criminal street gangs that are at war with each other. Investigators capped a 90-day investigation with extensive arrests, gun seizures and drugs and money confiscated.
If you park in downtown Stockton you won't have to worry about running out of time on your parking meter. Starting Tuesday you can use your cell phone to "feed the meter."