Joel Grant was also on target from the penalty spot in an incident that saw Burton defender Zander Diamond sent off.
Gareth Ainsworth made two changes to the Wycombe side with Jesse Kewley-Graham and Sam Wood replacing the injured Danny Foster and suspended Charles Dunne.
Former Wanderer Chris Palmer had the first shot on target and it came in the ninth minute as he cut in from the left and fired straight at Jordan Archer from the edge of the area.
The opening goal came three minutes later and it was that man McClure who was on target again with his third goal in two matches. The ball broke to Joel Grant on the edge of the area and his low shot was saved by Dean Lyness, but McClure was on hand to tap in from five yards.
Wycombe were a coat of paint away from making it 2-0 in the 20th minute when Bruno Andrade’s left-footed strike hit the outside of the post after Dean Morgan had done well to find him midway inside the Burton half.
Palmer’s free-kick tested Archer 10 minutes before the break, but the on-loan Tottenham keeper gathered the ball at the second attempt.
Neither side created too much in the first half with the most of the opening period fought out in midfield.
Morgan forced Lyness into a save low down to his right seconds after the restart and the forward came even closer in the 54th minute, but his strike cannoned back off the post with Lyness well beaten.
Wycombe didn’t have to wait much longer for their second though, as McClure latched on to Morgan’s pass in the 57th minute and was brought down in the area by Zander Diamond.
The Burton centre-back was shown a straight red card for the foul and top scorer Grant made no mistake from the spot, sending Lyness the wrong way.
It was 3-0 six minutes later when McClure smashed home from close-range after Grant had seen a header well saved from Wood’s deep cross. It was a great move from the Blues and McClure was again in the right place at the right time.
McClure was inches away from his hat-trick in the 67th minute as his header went just the wrong side of the post. Wycombe were then denied what looked a clear penalty after Morgan was scythed down in the area, but the referee waved away the appeals.
Charlton loanee Ade Azeez came on for his debut with 13 minutes remaining and Georges Ehui also made his Wanderers bow as Wycombe comfortably saw the game out for a deserved three points.
The scoreline could have got even better in injury-time when substitute Junior Morias burst through on goal, but Lyness made himself big and stopped the 17-year-old’s shot.
Wycombe: Archer, Lewis, Wood, Winfield (c), Johnson, Grant (Azeez 77), Kewley-Graham, Scowen (Ehui 88), Andrade, Morgan, McClure (Morias 85).
Subs: Harrison, Hause, Ainsworth, Oli.
Burton: Lyness, O'Connor, Stanton, Diamond, McCrory, Palmer, Weir, Bell, Maghoma (Corbett 70), Kee (Holness 58), Zola (Blyth 78).
Subs: Atkins, McGrath, Taylor, Dyer.
Attendance: 3,191 (153 Burton)