Brown has been remarkably consistent on key education issues throughout his governorship.
Seven out of 11 board members will remain on the board after Jerry Brown leaves office.
Newsom also pledges, if elected governor, to sign legislation that would require greater transparency in the operations and finances of charter schools.
Former Los Angeles Mayor Antonio Villaraigosa placed third, despite $23 million from charter school supporters who backed his campaign.
Contributions to independent expenditure committees set up by charter school advocates to back Villaraigosa near $23 million.
Spending accelerates ahead of June 5 primary
Contribution of $2 million from San Francisco philanthropist William Oberndorf boosts contributions to independent expenditure committee backing Villaraigosa to just over $16 million