The Dutchman enjoyed a successful period on Merseyside, scoring 71 goals during his six years at Anfield.
However, he will now be heading back to Feyenoord as he returns to the club Liverpool signed him from for £10m in 2006.
"I'm coming home after the summer and I can't wait to play again in De Kuip," Kuyt told the Dutch newspaper De Telegraaf.
"Feyenoord have always been a draw. We talked about a return when I left Liverpool but it didn't happen."
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