The 20-year-old is yet to make a senior appearance for Blues but has featured for their Under-23 team and spent time on loan at Hungerford in the National League South last term.
Head Coach Gabriele Cioffi told Crawley’s official website: “We welcome Michael to the club. I know him from my time on the coaching staff at Birmingham and he came on trial with us towards the end of last season and impressed me again.
“So this is a big opportunity for him to put Glenn (Morris) under pressure. He has a lot of potential, is very confident in his ability and has the attributes to be a top keeper, so let us see what he can do.”
Luyambula signed a new one-year contract with Birmingham earlier this month.