Jake Robinson scored a hat-trick to continue Brighton's renaissance. Academy product Robinson, who turned 20 last week, put the Seagulls in front on 23 minutes with a headed goal from Dean Cox's curling cross.
The same combination provided the inspiration seven minutes later when Cox's cross from the left was volleyed in off keeper Matt Glennon's legs.
Five minutes after the break Robinson got his third with a rising drive, before Town's Danny Adams was sent off.
Huddersfield: Glennon, Hardy, McIntosh, McCombe, Adams, Collins, Young (Brandon 63), Worthington, Schofield (Booth 63), Abbott, Beckett.
Subs Not Used: Rachubka, Nathan Clarke, Hudson.
Sent Off: Adams (86).
Booked: Hardy, Worthington, Collins.
Brighton: Henderson, Whing, Adam Hinshelwood, Butters, Mayo, Fraser (Hart 46), El-Abd, Hammond, Cox, Revell, Robinson (Rents 76), Hart (Lynch 51).
Subs Not Used: Sullivan, Gatting.
Booked: Robinson.
Goals: Robinson 23, 30, 50.
Att: 10,616.
Ref: N Swarbrick (Lancashire).