Mowbray beat off competition from Millwall's Kenny Jackett and Nottingham Forest's Sean O'Driscoll after Boro recorded five wins and a draw during the month.
The former West Brom chief was quick to share the praise with his players as well as the club's staff.
"It's a recognition of the whole club, not just for me, the players and the coaching staff, but also Avril, who empties the bins and cleans my desk, and Darkey who put the kits out each and every morning," he told the club's official website.
"If they don't do their jobs properly the players will moan and I'll end up arguing with them. But instead everything just works - the players go in at lunchtime and the food is ready, you go to have a cup of tea and the cups are there clean for you.
"I help pick the team with my coaching staff but it's a huge team effort every single week to try to win football matches. Everybody behind the scenes is working to make it a happy camp - Manager of the Month awards are really a reflection that something is happening in your club for that period of time."