The episode, entitled “The Proton Transmogrification”, will see the gang get together to celebrate the annual geek holiday.
Sheldon is guided by visions of his childhood idol and mentor, Professor Proton, who appears to the socially challenged genius as his own Jedi master.
The special episode will also feature Dagobah, the remote world of swamps and forest that served as refuge for Yoda during his exile, with the help of a special effects team from Lucasfilm.
Fans mark Star Wars day every year on 4 May, using the celebratory greeting: “May the fourth be with you”, a play on the film’s favourite line: “May the force be with you”.
The Star Wars episode will air on 1 May on CBS in the US, with a UK air date yet to be confirmed.