Kapur had six birdies and earned his first Asian Tour title with a tournament record 20-under 268 total. Randhawa, who shared the lead entering the final round, shot a 69.
Macus Both of Australia, who shared the lead with the Indian pair heading into the final round, had a 71.
Kapur's memorable rookie season included five top-10 finishes and last month's playoff loss at the Double A International Open in Thailand.
'Right now I'm a dream world,' he said. 'I thought I had the game to win. I never thought I would win the most important one, our Tour championship.'
Kapur's victory earned him an invitation to the PGA Tour's Sony Open next month and the WGC-Bridgestone Invitational.
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