Hussey hit a career-best innings of 195 and Haddin pitched in with an impressive 136 as they dominated the day to help steer Australia to 481 all out and a first-innings lead of 221 runs.
England captain Andrew Strauss, on a pair after a first innings duck, had a scare on his first ball but survived 15 tough overs with fellow opener Alastair Cook to leave the tourists on 19 without loss in their second innings.
Hussey and Haddin, who came together on Friday with Australia wobbling at 143 for five, weathered England's new-ball onslaught in the morning before tearing off the shackles as the tourists toiled in the afternoon heat. Haddin, who had resumed on 25, stifled his attacking instincts but still scored more freely than his partner to drive Australia past England's first-innings tally of 260.
Husseythen sparked wild celebrations from another packed house at the Gabba when he brought up his 12th Test century.
Back in Test cricket after missing much of the year through injury, Haddin reached his century in some style after lunch by clubbing a six over spin bowler Graeme Swann's head to long-on. Haddin was the first to fall, caught by Paul Collingwood off the bowling of Swann and Hussey followed three overs later.