The 26-year-old joined Barcelona from Manchester City in 2022 and is now continuing his career in Paris. According to transfer journalist Fabrizio Romano, PSG will pay the equivalent of 550 million kronor for the striker.
Torres scored the only goal of the match in this summer's World Cup final when Spain beat Argentina after extra time.
The contract runs until 2031.
PSG are the reigning French and Champions League champions and recently won the Super Cup against Aston Villa.
