The 19-year-old, who starred in 139 episodes of the show alongside his twin brother Sullivan and older sister Madylin was just weeks away from his twentieth birthday.
Sawyer and his brother's last acting role was on the show, which ended in 2005, and their last public appearance was in 2010.
"This morning a terrible family tragedy has occurred. We are devastated to report that our beloved brother, son, and friend, Sawyer Sweeten, took his own life. He was weeks away from his 20th birthday.
"At this sensitive time, our family requests privacy and we beg of you to reach out to the ones you love," his devasted sister Madylin said a statement.
Sawyer's co-stars also paid tribute to the young actor.
Sawyer's Raymond co-star Doris Roberts remembered him on Facebook, writing: "It is with great sadness that I learned the news that Sawyer Sweeten, who played my grandson Geoffrey Barone on Everybody Loves Raymond, died at his family's home in Texas.
"He was a very sweet young man who will be dearly missed. Make sure your loved ones know how much you care about them, and please check in with them if you haven't touched base with them for a while. It's very important to keep in touch."
Patricia Heaton, his television mother, wrote: "@Sawyer Sweeten was a funny and exceptionally bright young man. He is gone from us far too soon."
Our thoughts are with the Sweeten family during this tragic time.