Carlisle ended a run of four games without a win in emphatic style while handing new Huddersfield boss Lee Clark his first defeat since taking charge.
Danny Graham beat Town keeper Alex Smithies to Michael Bridges' near-post cross to stab United in front.
Bridges then slid a 12-yard shot home and Graham Kavanagh made it three after collecting a chested lay-off from Graham and drilling home from 20 yards.
Gary Roberts missed Town's best chance, heading over from close range.
Carlisle: Krul, Raven, Livesey, Murphy, Liddle, Taylor (Birchall 80), Kavanagh (Hackney 87), Bridge-Wilkinson, Jeff Smith, Graham, Bridges (Dobie 84). Subs Not Used: Williams, Keogh.
Goals: Graham 12, Bridges 55, Kavanagh 75.
Huddersfield: Smithies, Nathan Clarke, Butler, Berrett, Holdsworth, Collins, Craney (Cadamarteri 56), Goodwin, Williams (Jevons 56), Roberts, Parker (Worthington 78). Subs Not Used: Glennon, Tom Clarke.
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