It originally opened on September 13, 1967,[2][3] under the Campbell Union High School District (CUHSD) before closing in 1991.

[4] It is named after Isaac Branham, a Californian pioneer who became a successful farmer and lumber mill owner.

Branham participates in the College Board's Advanced Placement program and, as of the 2021–2022 school year, offers AP courses in the following: English Language and Composition, English Literature and Composition, World History: Modern, US History, American Government, Biology, Chemistry, Environmental Science, Physics 1 & 2, Psychology, Calculus AB & BC, Statistics, French Language & Culture, Spanish Language and Culture, Spanish Literature and Culture, Chinese Language and Culture, Computer Science A and Principles, Studio Art 2D & 3D, and Art History.

The Branham High School Royal Alliance Marching Band and Color Guard is known for award-winning performances and had an undefeated season in the fall of 2019 with their show “It’s About Time”.

[3] The Career Technical Education courses offered at Branham currently include Culinary Arts, Journalism, Yearbook, and PLTW (Project Lead the Way).

The journalism class is known for its award-winning newspaper, the Bear Witness, which has been named a National Scholastic Press Association Pacemaker winner in 2018, 2019 and 2020.