Phil Parkinson paid tribute to Bradford for a "good all-round display" after a 3-1 win at previously undefeated Crawley.
Midfielder Billy Knott and striker Mason Bennett both hit their first goals for the Bantams as they climbed to second in League One.
Local boy James Hanson opened the scoring five minutes after the break with his third goal of the campaign before defender Joe Walsh equalised in the 50th minute by powerfully heading in a corner from Ryan Dickson.
Parkinson felt City's careful preparations were key in clinching their second win in three league games, and he beamed: "I'm absolutely delighted.
"It was a good all-round display and we dictated the game in the second half. We did things properly by travelling down the day before and our preparation was spot on.
"I said to the players that you have to prepare and play like the home team and we did that."
Parkinson was delighted to see 18-year-old Bennett, on loan from Derby, open his account and added: "Bennett is a real quality footballer.
"We look as though we have come through injury-free and it's very pleasing that we have got two wins and a draw from our three away games in the space of eight days.
"We're now looking forward to our home match with Peterborough on Saturday. They are all big games and we need to prepare properly."
Crawley went into the game having won their previous three league and cup outings without conceding a goal, and boss John Gregory admitted: " We got a big punch on the nose.
"Now we'll see how my players react. The performance has been coming, we've had to use the same players and were unable to rest one or two.
"Bradford had a side with a huge amount of experience and their two central defenders were totally uncompromising, they headed it and kicked it and were outstanding for their team."
However Gregory remains satisfied with the start his men have made to the new season.
He added: "As bad as I feel now, tomorrow I will feel better. We have two wins and taken six points out of nine so I shouldn't be too disappointed. It's always hard to win three consecutive home games.
"We'll pick ourselves up and be ready to go for the trip to Sheffield United on Saturday.
"My biggest gripe is that we need to keep the ball better. Too many times we looked a bit anxious so there is room for improvement."