Henry had both surgeries Friday.
The fourth-year pro had a torn ligament in his wrist and a cartilage abnormality in his knee.
Henry already had been declared out for the season by the Lakers. He played his final game April 1 against Portland.
Injuries limited Henry to just 43 games in his first season with the Lakers, but the Kansas product averaged career bests of 10.0 points, 2.7 rebounds and 1.2 assists.
Henry is a free agent this summer.