Australia's Lucas Herbert also enjoyed an excellent final day at the Hong Kong Golf Club on Sunday as his 64 enabled him to grab fourth place, five shots behind the winner.
In a three-way tie for the lead entering the final round, Garcia started fast with an eagle on the 551-yard third, before recording four consecutive birdies between the eighth and 11th holes and adding a birdie on 16 to finish the tournament on 18-under 192.
His co-leaders couldn't keep pace with England's Paul Casey shooting a 69 to finish in fifth place at 12 under while Peter Uihlein's 70 left him in a tie for sixth, seven strokes adrift.
South Africa's Dean Burmeister had the round of the day, firing a 62 to move into second place at 15 under, while Phil Mickelson shot a 64 to finish in third and stand on his first LIV podium.
Approaching the 18th green, Garcia had a big individual lead but needed to par the hole for the Fireballs to stave off a playoff with Stinger GC in the team competition.
Staring down what he called an "easy 55-footer down the hill," he left his putt close to the hole, tapping in for a birdie and the team win at 37 under.
It was the sixth LIV Golf team title ever for the Fireballs, who also won last week in Adelaide.
Herbert's stirring effort, along with 12th-placed Marc Leishman's 65, 20th-placed Cameron Smith's 66 and 35th-placed Matt Jones' 67 ensured the all-Australian Ripper GC finished third in the team event on 34 under.
"It was nice to see not only that I was doing well and leading the tournament, but my teammates were playing great," said Garcia, whose teammate, Abraham Ancer, took the individual championship in Adelaide.
"They were keeping us there with a chance to win. Obviously when you can pull the double, it's a lot sweeter than if it's just one of them. Very proud of them."
Garcia seemed to cherish the latest win with his team -- fellow Spaniards David Puig and Luis Masaveu, as well as Mexican Ancer.
At 45, Garcia has assumed the role as elder statesman of golf in Spain, serving as a mentor the way Seve Ballesteros and Jose Maria Olazabal were for him as a youngster.
"It's fun," Garcia said. "I really love this format. I really love the team aspect of it and trying to put my arm around them and give them advice if they need it or if they want it and try to help them be the best version of themselves on another golf course."
Another veteran, the 54-year-old Mickelson, said he feels good about his game heading into the Masters Tournament, set for April 10-13.
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