Albion are level at the John Smith’s Stadium.
However, they went behind inside the first minute as Mathias Jorgensen capitalised on a mistake by Bruno Saltor to put Huddersfield in front with just 55 seconds gone.
Florin Andone had a chance to equalise on 20 minutes but his close-range shot was closed down.
Albion had a slice of luck on 32 minutes when Steve Mounie was sent off for going in late on Yves Bissouma.
For the second time in a week Brighton find themselves facing 10 men. Last week Leicester City managed to take a point despite the disadvantage.
In added time, after Bruno’s tenacity in keeping the ball in play, Shane Duffy headed in Albion’s equaliser to set up a tantalising second half.
