The Giallorossi have confirmed that they have secured the services of the 23-year-old Dutch midfielder, who enthuses about "the next step in my career development"
Both clubs had already reached an agreement about a transfer fee earlier in July but the Dutch side demanded a bank guarantee from the Giallorossi before giving the green light to complete the deal.
The Serie A side have now met the Eindhoven outfit's demands and the 23-year-old, who had previously been linked with Manchester United, says that he is delighted to have joined the club.
"I can report that I have finally officially signed with AS Roma, I signed a five-year contract and I'm very excited to be able to play football at this great club," Strootman enthused on his official website.
"It is the next step in my career development that I have gone through at Sparta, Utrecht and PSV, the club I've played with over the last two years, it has been a lot of fun."