Jordan Bartlett, of Biddles Close, Cippenham, was reported missing to police on Friday, May 4, by a friend concerned for his welfare.
The 19-year-old's body was discovered by a passer-by in the river near the Windsor and Eton Relief Road around 10.30am on Thursday.
In a statement the family said: "We would just like to say thank you from the bottom of our hearts to all our family and friends, the hundreds of people who helped put up posters and go out searching, and to the police and all the other agencies involved in trying to find him.
"The support we have received has been overwhelming. Sadly, Jordan was found in the Jubilee River on Thursday, May 17.
"Thank you everyone for all the love you have shown us."