Spurs boss Mauricio Potchettino was forced in to a couple changes after the UEFA Champions League win over Manchester City as Harry Kane and Dele Alli missed out through injury.
After a quiet opening, the deadlock was eventually broken on 24 minutes as the returning Victor Wanyama did well to round the goalkeeper before slotting into an empty net.
Th lead was doubled two minutes later as Moussa Sissoko played in Lucas Moura, who rifled the ball into the far corner on his 50th appearance for the club.
The first half was dominated by the home side from the onset, although Huddersfield, who set up with a back-five, were content with sitting back for most of the half.
Spurs picked up from where left off in the first as Fernando Llorente rattled the frame of the goal inside the opening five minutes.
The visitors had to wait until the 75th minute for their first real opening, as Steve Mounier sent a close-range header inches wide of the mark.
Christian Eriksen had a chance to round off the scoring five minutes later but his strike crashed against the upright.
Spurs did manage to grab a third goal as Eriksen turned provider to play in Lucas, who fired home with a low strike to complete his brace.
The Brazilian winger was not done there as he completed his hat-trick in second-half stoppage time with a powerful strike that sailed into the top corner.