The 22-year-old, a Netherlands international, joins the club for an initial fee of €14 million. The deal also includes various performance-related clauses worth upto €5m in additional payments.
Karsdorp has signed a five-year contract that runs until 2022.
“Coming to AS Roma is a great step forward for me,” Karsdorp said. “I come here with a great desire and enthusiasm to play and to realise my dreams.
"I know I still have a lot of room to improve and I hope to do that here.”
Karsdorp, a product of the Feyenoord academy system, joins the Giallorossi after making over 100 appearances for his childhood club.
Last season he helped Feyenoord claim the Dutch league title, playing in 30 games as the team won the Eredivisie for the first time in 18 years.
In 2016 he was also part of the squad that claimed the KNVB-Beker Cup – completing all 90 minutes in the final.
“Despite his young age, Rick has already shown he possesses great talent,” sporting director Monchi said.
“We are delighted to be able to sign him, and are certain that his attributes will fit in well with the way coach Eusebio Di Francesco wants to play.”
Karsdorp has represented the Netherlands at every age group from Under-17 to the senior national side. He made his full debut for his country in October 2016 in a World Cup qualifier against France.
The right-back’s most recent appearance came against Bulgaria in March.
Karsdorp will wear the No. 26 shirt during the forthcoming campaign.
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