In line with Chelsea's long-term contract plan for youthful recruits, the 22-year-old has signed an eight-year contract at Stamford Bridge.
"I feel like I'm going to do amazing things here," he stated in a brief social media video.
Jackson nearly signed for Bournemouth in January before scoring nine goals in his final eight La Liga appearances for Villarreal.
To pay Jackson's price in instalments, Chelsea has agreed to pay a little bit more than the striker's £30 million release clause.
Laurence Stewart and Paul Winstanley, Chelsea's co-sporting directors, expressed their excitement to welcome Nicolas to the club. Young and talented, as he shown for Villarreal last year, he has a lot of promise. We believe he is prepared for the next phase of his career and are forwards to watch him collaborate with his Chelsea teammates and our new head coach, Mauricio Pochettino.
He'll likely compete alongside Nkunku, Armando Broja, and David Datro Fofana for a position in Pochettino's front line next season. It's expected that Pierre-Emerick Aubameyang would leave the team after Kai Havertz, with Napoli's Victor Osimhen also a potential target.">