“There are so many good people at the club and I couldn’t ask for a better environment to play my cricket.
“I’m very excited for the upcoming seasons and hope to help bring the club as much success as possible.”
Organ has scored 1,690 runs in 48 first-class appearances for the county at an average of 22.83, as well as taking 57 wickets.
“Felix has developed into a genuine threat with the ball and he also adds value with the bat,” said Giles White, Hampshire’s director of cricket.
“He’s a popular member of the squad and has a real passion for the game and his team; we are delighted he is going to continue his progress at Hampshire.”