Joe Aribo’s 31st-minute opener for the Addicks had been cancelled out shortly before the break by Erhun Oztumer’s equaliser.
Both sides hit the woodwork in an entertaining encounter, with Kory Roberts’ untimely 73rd-minute own goal restoring Charlton’s lead.
And the points were wrapped up in the final minute by Stephy Mavididi as the Addicks built on their impressive current form.
The Addicks broke the deadlock when Mark Marshall whipped in a left-wing cross which just failed to find the head of Josh Magennis, although Aribo was ideally placed to volley home from close range.
The visitors were back on level terms four minutes before the break as Luke Leahy’s cross found the unmarked Oztumer and the former Addicks youngster headed past Ben Amos, the effort hitting the post on its way in.
Kory Roberts got an unfortunate final touch just as Mavididi was about to pull the trigger in the 73rd minute to turn the ball into his own net to restore the lead.
Burton midfielder Martin Samuelsen will use the international break to recover from illness after pulling out of Norway U21's games.
Jonas Lossl is staying 'optimistic' over Huddersfield's chances of survival this season and has urged his team-mates to 'go for it'.