Jack Sowerby gave the hosts a 21st-minute lead but goals from Alex Gilliead and Shay McCartan in the space of seven second-half minutes earned the fifth-placed Bantams victory.
Fleetwood started well, with Ashley Hunter, Sowerby and Jordy Hiwula all creating chances in the opening six minutes.
And Town went ahead when ex-Bradford man Hiwula teed-up Sowerby to coolly slot home.
Fleetwood should have been further ahead after dominating the first half and were punished after the break.
Uwe Rosler’s men lost the ball after playing a short corner and a Bradford break was finished off by on-loan Newcastle midfielder Gilliead in the 56th minute.
And seven minutes later the visitors led. Tony McMahon’s corner found Charlie Wyke at the back post and the striker nodded the ball into the path of McCartan who curled in.
Conor McAleny wasted a golden opportunity to level eight minutes from time as fellow substitute Wes Burns’ deflected shot fell to him at the back post but he cannoned the ball wide as Fleetwood slipped to a third successive home league defeat.
Burton midfielder Martin Samuelsen will use the international break to recover from illness after pulling out of Norway U21's games.
Jonas Lossl is staying 'optimistic' over Huddersfield's chances of survival this season and has urged his team-mates to 'go for it'.