The Supreme Court of California consists of the Chief Justice of California and six Associate Justices, each appointed or nominated by the Governor. To learn more about the history of the court and its policies and procedures, download The Supreme Court of California booklet. Current California Supreme Court Justices: Chief Justice Tani Gorre Cantil-Sakauye is the 28th chief justice of the State of California. She was sworn into office on January 3, 2011, and is the first Asian-Filipina American and the second woman to serve as the stateâs chief justice.