The 25-year-old, who can play in midfield or up front, is the Dons' longest-serving player having joined from Ebbsfleet in 2009.
Boss Neal Ardley told the club's official website: "We put together a team that managed to keep the club up last season and now we are trying to assemble a better team for next season.
"I am confident that Luke will flourish during the next campaign if he can carry on where he left off last season. He was certainly a key player in helping us stay up.
"Luke's versatility, energy and work ethic is what I expect from players in my team and hopefully he can be a major asset next season."
The Dons have also taken up their option on winger Kevin Sainte-Luce to keep him at the club next term.