Brooklyn Beckham and Nicola Peltz let the music take control at Coachella ... vibing with one another while artists took the stage -- and leaning in to suck a little face.
The two stars were spotted hanging out at the popular music festival in the desert on Friday ... and, they were spotted smooching up a storm -- leaving the rest of the crowd behind and enjoying their own private moment in public.
Beckham and Peltz are clearly very much in love .