Stuart Clark and Beau Casson took three wickets each and Australia withstood a defiant West Indies to seal an 87-run victory midway through the final day of the third Test.
Australia, who retained the Frank Worrell Trophy with the second Test draw in Antigua, completed a 2-0 win in the three-match series on Monday.
West Indies, resuming Day V on 235 for three in pursuit of 475, was bowled out for 387.
Dwayne Bravo (69) and Shivnarine Chanderpaul (50) shared a partnership of 122 for the fourth wicket to lift faint hope for the home team at Kensington Oval.
But once both departed in a four-ball span just before lunch, the Aussies powered to victory after the interval as they took the last five wickets for 42 runs.
Fast bowler Clark took three for 58 while debutant left-arm wrist spinner Casson claimed three for 86.
Brett Lee was fiery throughout and eventually was rewarded with two for 109.
Australia skipper Ricky Ponting credited the Caribbean side for stretching his No. 1 ranked team.
"This game has gone pretty much to plan for us but the West Indies have got a lot of positives out of the game as well," Ponting said. "The way they attacked the run chase in the second innings I thought showed a lot of heart and a lot of character."
West Indies captain Chris Gayle, who missed the first two Tests injured, was proud of his side's performance.
"We knew it wasn't going to be easy. Someone would have had to get a big hundred which we didn't get," Gayle said. "If we batted out the day we knew we would have got the runs but that didn't happen.
Chanderpaul and Bravo began the day cautiously against the accurate Clark and the left-arm spin of Michael Clarke and added 33 runs in the first hour with few alarms.
The introduction of Lee tested the West Indies, especially Bravo, who took a blow to the back of the helmet during the hostile spell.
Bravo brought up his 50 off 113 balls, and blossomed against Casson with three huge sixes over long-off.
Chanderpaul notched 8,000 runs when he reached 49, the third West Indian to the mark after Brian Lara (11,953), Sir Vivian Richards (8,540) and Sir Garfield Sobers (8,032).
Australia took the second new ball next over and Clark trapped Chanderpaul leg before to silence the crowd.
Chanderpaul, later named man-of-the-series, hit five fours off 131 balls in 203 minutes. It was the first time Australia had dismissed the slim left-hander since the first Test. It was the fourth time in Chanderpaul's career that he has batted 1,000 minutes or more between dismissals. The teams play a T20 match at Kensington Oval on Friday, and begin a five-match one-day series on June 24.
Australia 1st innings 251
West Indies 1st innings 216
Australia 2nd innings 439-5 decl
West Indies 2nd innings 387: Gayle c Lee b Clark 26, Marshall c Jaques b Casson 85, Sarwan lbw b Clarke 43, Chanderpaul lbw b Clark 50, Bravo c Jaques b Casson 69, Ramdin lbw b Clark 8, Taylor c Haddin b Johnson 31, Chattergoon c Haddin b Lee 13, Benn c Hussey b Casson 13, Powell c Haddin b Lee 6, Edwards not out 5
Extras (b 10, lb 8, w 8, nb 12) 38
Total (all out; 105.4 ovs;) 387; FoW: 1-64, 2-159, 3-181, 4-303, 5-303, 6-345, 7-351, 8-375ov), 9-375, 10-387; Bowling: Lee: 25.4-3-109-2, Clark 24-8-58-3, Johnson 12-0-72-1, Casson 25-3-86-3, Clarke 17-1-38-1, Symonds 2-0-6-0.
Australia beat WI by 87 runs; clinch the series 2-0
Man-of-the-Match: Simon Katich
Man of the Series: Shivnarine Chanderpaul