James Wilson netted a first-half winner as Brighton moved up to second place in the Championship following a 1-0 victory over Reading.
Albion, who now boast five successive clean sheets, survived a late rally from the Royals to record their first league win over the Berkshire side in 12 attempts.
The Seagulls have now won five of their last six home games and Reading's defeat still leaves them without a clean sheet away from home for six months.
Championship side Reading have reappointed Brian McDermott as manager, the club have confirmed.
This will be McDermott second spell in charge, having previously guided the Berkshire club to promotion to the Premier League in 2012.
McDermott has signed a deal running until 2018 at the Majdeski.
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The Football Association will contact Reading and Bradford to seek their observations following the pitch invasion after Monday's FA Cup quarter-final replay at the Madejski Stadium, Press Association Sport understands.
Reading fans ran onto the pitch after the final whistle in their 3-0 win over the Bantams which secured an FA Cup semi-final clash with Arsenal at Wembley.
A supporter also invaded the playing surface during the game and the FA will speak to both clubs to collect their views.
Garath McCleary was the target of alleged racist abuse during his side's 3-0 win over Bradford.
The winger reported an incident to the assistant referee after he'd gone to collect the ball to take a corner just before half-time.
Reading confirmed they had reported the matter to the police. who confirmed a man gad been arrested.
An incident was reported to the match officials just before half time, who in turn told Reading staff. A man was then arrested and ejected during the half-time interval.
Chris Dawkes at Valley Parade
The last time Bradford City were in the quarter finals of the FA Cup was in 1976 and the Valley Parade pitch was like a throwback to those times.
Needless to say the opening exchanges were scrappy with neither side able to put any meaningful passing moves together on the uneven surface.
The crowd at least were lively even though the football wasn't with City fans encouraged to bring their scarfs to the game to create a unique sea of claret and amber around 3 sides of the ground.
Both sides were guilty of committing a number of needless fouls which interrupted the flow of the game and it wasn't until 24th minute when Jamie Mackie's cross come shot was deflected into the arms of Ben Williams that either side remotely came close to opening the scoring.
However just 2 minutes later Mackie again burst free down the right. His cut back was controlled by Pavel Pobrebnyak, but the big Russian's shot rebounded off the post and bounced to safety.
10 minutes later it was Bradford's turn to scrape the paint off the woodwork - Gary Liddle's cross evading everyone but the post once again denying the opening goal.
It remained goalless until the referee signalled the end of the first 45 minutes. In a half with very few goalmouth incident posts at either end denied both Bradford and Reading the advantage in this quarter final.