Australia stormed to a series-claiming second win of the three Test series just over the half-way stage of the match in the middle session of the third day at the famous MCG.
Clarke heralded a fiery bowling performance from returning Test star Mitchell Johnson as the Aussies pummelled the injury-ravaged Sri Lankans by a massive innings and 201 runs.
Johnson was stunning with six wickets for the match and an unbeaten 92 in Australia's only innings 460.
The fiery quick inflicted physical pain on Sri Lanka's top batsmen with 10,000-run veteran Kumar Sangakkara and wicketkeeper Prasana Jayawardene both with broken fingers from Johnson thunderbolts into their gloves.
Clarke confessed straight after the win that he instructed his bowlers to "win the match" before the end of the third day.
"We spoke today before the start of play about how important today was for this team," he revealed.
"Considering we were on top in the game, a 300-run lead we had to come out and bowl well.
"We had to execute our plans and we had to it with good intent and our goal was to to win the Test match today."
Match scores were Sri Lanka 156 and 103, to Australia's 460.
Clarke top-scored in the match with another brilliant century (106) and his fifth in the Aussie skipper's record-breaking 2012.
The humble leader passed his former captain and teammate Ricky Ponting for Australia's record number of runs in a calendar year.
Clarke scored 1595 runs at a remarkable average of 106, eclipsing his close mate's previous Aussie best 1545 set in 2005.
"It's very nice to have scored some runs," Clarke conceded.
"It's part of your responsibilities as a leader to make sure you are performing on the field.
"In my eyes Ricky is the greatest batsman that I have been lucky enough to play with.
"So any record I can beat of his is a great achievement.
"It's very special and I just want to sit back over the next couple of days and enjoy this time with my family and friends because they've played a big part.
"I couldn't have done it without them."