The 25-year-old is having a sensational World Cup for Morocco, with three goals from his four games as the North Africans reach the round of 16 at the expense of the Netherlands.
Bayern Munich have now confirmed the signing of the forward from Dutch side PSV for a reported fee of €50 million initial fee plus €5m in add-ons.
Saibari has put pen to paper on a five-year deal with the German giants, keeping him at the club until 2031.
Speaking to Bayern’s website, Saibari said: “As a child, you dream of signing a contract with a club like FC Bayern – everybody knows it’s one of the world’s biggest clubs.
“FC Bayern compete for the biggest titles like the Champions League every year, and I want to win as many trophies as possible here.
“FC Bayern’s play suits me, I can play my own style of football here, and I’ll work hard every day to help the team.
“Coach Vincent Kompany played a key role in my decision – I’m looking forward to working with him.”