Looking to recover from back-to-back defeats, Chelsea took the lead at Stamford Bridge on 16 minutes when a reverse pass from N'Golo Kante found Higuain, who fired in at the near post.
Eden Hazard doubled it with a penalty just before the break, after Cesar Azpilicueta had been fouled.
The Belgian made it 3-0 on 66 minutes, finishing from Ross Barkley's through-ball, before Higuain struck his second, curling in via a deflection.
David Luiz headed in a Willian corner late on as Chelsea returned to fourth on 50 points, three ahead of Arsenal, who play Manchester City on Sunday.
Huddersfield remain bottom with 11 points.
Chelsea: 10 Feb v Man City (A)
Huddersfield: 9 Feb v Arsenal (H)