The New Zealand international, who netted 11 times on loan at Millwall before he was recalled by West Brom, completed his switch to the King Power Stadium this morning and needed just six minutes to open his Leicester account.
Wood formed an excellent understanding with the dangerous David Nugent and added his second midway through the first half before Ritchie De Laet's first Foxes goal capped off an outstanding 45 minutes.
Things got better for Leicester after the break as Anthony Knockaert bagged a quickfire brace and, after Scott Arfield netted a consolation, Martyn Waghorn converted late on to help City secure their second successive victory.
The Terriers' struggles continued and they have now gone 10 games without a win.
In a frantic opening, Town midfielder Adam Clayton had to hack the ball off the line to prevent Knockaert from breaking the deadlock, while James Vaughan - replacing Jermaine Beckford who is ineligible to play against his parent club, fired over from a tight angle.
The Foxes opened the scoring thanks to Wood, who rose highest to nod in from close range after Alex Smithies had brilliantly kept out Nugent's header from Knockaert's cross.
Nugent then burst into the box and unleashed a shot that Smithies saved before the former England striker headed Paul Konchesky's cross wide.
The hosts' front two continued to cause havoc for the Terriers defence and they were both involved in the second goal after 24 minutes. Wood linked up superbly with the impressive Nugent and fired a low shot that flew in off the post.
Wood wasted a chance to complete his treble, heading wide from 12 yards nine minutes before the interval.
Leicester went in at half-time 3-0 ahead. Knockaert picked up the ball 35 yards out and after teasing the Town defence, fed full-back De Laet who fired past Smithies.
City started the second half where they left off in the first as Knockaert scored twice in three minutes.
The Frenchman swept home the overlapping Konchesky's cut back from 12 yards and then after fooling the visiting defence with some eye-catching trickery, he darted through two players and curled a shot past Ian Bennett, replacing the injured Smithies at half-time.
Huddersfield got on the scoresheet in the 59th minute thanks to Arfield, who converted after Kasper Schmeichel had parried his initial shot.
That sparked the visitors into life, with Arfield heading over and Schmeichel denying Lee Novak a goal on his 100th start for Huddersfield.
Arfield and Clayton combined to set up Adam Hammill and the on-loan Wolves winger fired a 25-yard shot wide.
Despite the pressure, Leicester grabbed a sixth 15 minutes from time when Waghorn, a replacement for Nugent, volleyed home after Wood nodded Konchesky's delivery back across goal.
- Sports & Recreation
- David Nugent
- Ritchie De Laet
- Scott Arfield
- Alex Smithies