Emre Can opened the scoring with a low shot that deflected off Philip Billing on its way in.
Roberto Firmino doubled the lead in first-half stoppage-time from the narrowest of angles after Sadio Mane's pass.
Mohamed Salah converted a 78th-minute penalty after Billing fouled Can.
After Laurent Depoitre had been denied by Loris Karius early on, Huddersfield offered little before a late rally.
Town's fourth successive defeat leaves them one point above the relegation zone.
Huddersfield Town: 3 Feb v Man Utd (A)
Liverpool: 4 Feb v Spurs (H)