Performances will be at the Rothrock Performance Hall at the school, 302 Portola Road in Portola Valley.
Among those in the cast are Bruno Geoly as Tom Sawyer and Graham Hughes as Huck Finn.
Tickets are $12 for adults and $5 for students.
The Mark Twain classic was adopted by Matthew Francis for the stage. John Sugden is chair of the Performing Arts Department at Woodside Priory.