The 21-year-old has sealed a dream move to Wolverhampton Wanderers.
Kilman is the latest Magpies player to get a pro deal. Winger Harry Pritchard signed for Blackpool in May after a great season.
That came after Southend United signed attacker Sam Barratt, 22.
But Kilman, a youth team graduate, moves to the top flight after impressing under Alan Devonshire last season.
A statement by Maidenhead United said: “Max is very well thought of by all at the club and Maidenhead United congratulate this young prospect on an exciting move.
“We look forward with relish to following his future progress.”
The Magpies hope to put a frustrating start to the new season behind them this weekend when they travel to Dagenham & Redbridge.