Arne Slot admits it was difficult to reject Liverpool's offer.
The Dutchman has agreed a three-year contract and will leave Feyenoord to take charge at Anfield on June 1.
Slot will succeed Jurgen Klopp, who has stepped down as Liverpool manager after nine years in charge.
"It is certainly not an easy decision to close the door behind you at a club where you have experienced so many wonderful moments and worked successfully with so many wonderful people," Slot told Feyenoord's club website.
"But as a sportsman, an opportunity to become a head coach in the Premier League, at one of the biggest clubs in the world, is difficult to ignore."