It was the Bantams' first triumph at Valley Parade in 2013 - their last home success being a 2-1 win over Accrington on Boxing Day. Since then, Bradford had suffered three defeats and two draws.
The only goal of Tuesday night's encounter came in the eighth minute when Kyel Reid's free-kick found James Hanson at the far post and he headed the ball down for Garry Thompson to fire home from five yards.
The goal crowned a bright start by Bradford, who almost went in front in the first minute when Hanson's header was cleared off the line by Michael Harriman from Reid's corner.
Bradford enjoyed most of the play but were unable to add to their lead and Matt McClure missed a great chance to equalise in the 49th minute.
He miscued his header when Dean Morgan's cross found him unmarked and the home side held on to complete a double over Wycombe.