The Tigers No.8 picked up the Guinness Premiership and EDF Energy Cup silverware as captain last season, as well as leading Tigers into the Heineken Cup Final, in his second year in the role.
"We picked up two trophies last season and reached three finals thanks to the efforts of everyone involved at the club," Corry said. "It is a great honour to captain Leicester Tigers and I look forward to some more exciting times ahead in the new season."
The new season will feature a number of new faces at Welford Road and the arrival of Marcelo Loffreda as head coach in succession to Pat Howard.
Corry, who was among the nominations for Guinness Premiership Player of the Year, has completed a decade as a Tigers player, making his debut in August 1997. He has collected 54 caps for England, as well as six with the British & Irish Lions, and is preparing with the national squad ahead of the World Cup in France.
Acting head coach Richard Cockerill said: "Martin has been an outstanding player with us for a long time now and he is an excellent leader and captain. He leads by example and his commitment to the cause and consistency are there for all to see.
"Marcelo is well aware of his qualities and was happy to confirm him as captain for next season."