A member of the England Saxons squad, Kitchener went on England's summer tour to South Africa last year and played in both midweek fixtures.
Kitchener said: "I've really enjoyed my time with Leicester Tigers so far and I'm happy to agree to stay with the club.
"I played in an Aviva Premiership Final and LV= Cup Final in my first season here and I've also played in the Heineken Cup. I think I've learned a lot in my time at Leicester and I'm looking forward to continuing to develop my game here in the future."
Leicester Tigers director of rugby Richard Cockerill said: "Graham is an ambitious young player and has come into a very competitive environment here because he wants to be the best player he can.
"He has settled in very well here, he has taken on extra responsibility in his role in the squad and we look forward to watching his continued development in coming years."