Wilko Risser scored the only goal as Aldershot saw off Bradford.
Bantams debutant Chris Dagnall was denied an early goal by Shots goalkeeper Jamie Young, who then saved Michael Flynn's 35-yard effort.
Aldershot midfielder Michael Doughty went close with a half-volley and Young again kept out Dagnall.
The hosts got their goal when City keeper Jon McLaughlin tipped Rob Sinclair's cross onto the bar and Risser tapped home.
VIEWS FROM THE DRESSING ROOM
Aldershot boss Dean Holdsworth told BBC Surrey:
"It was a very tough game for the players, a very physical game. We ground it out and it was always going to take a little brilliance and something different.
"It was a strong team performance and we had to do the gritty things well. Wilko Risser is a strong character who gives you everything.
"We've won the last five here and that is fantastic for the football club and the players. It was a bit scruffy but we got the result."
Bradford City manager Phil Parkinson told BBC Radio Leeds:
"It hurts that the one attempt they had has been the match-winning goal.
"If you lose two games on the bounce like we've done you expect to be closer [to the relegation zone] than we were the start of the week.
"Now it's the challenge for me and the rest of the team who we're going to choose for the game against Crewe and we've got a team with sharpness and freshness in their legs."