"If there was a better supply of iPhone 6 & 6 Plus 64GB & 128GB models during the month then Apple's share could have climbed to the 40 percent level," he said.
Apple's 5.5-inch 6 Plus, launched in September, been a smash hit with consumers in Asia, where there is strong demand for phablets – or devices with a screen size of 5-inches and above.
Other bright spots
Japan was the other bright spot for Apple in the region, where it captured more than half of the smartphone sales in November.
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"Japan has been one of the strongest markets for Apple and it is becoming increasingly difficult for competition to challenge Apple's dominance in near- to mid-term," Counterpoint said. "Apple will likely benefit from the upcoming Apple Watch with a growing and premium iPhone user-base in this highly advanced consumer market."
Apple also made significant headway in China, the world's largest smartphone market, recording record sales in the mainland in November as rich, urban consumers warmed to the bigger iPhone form-factors.
"This has helped propel Apple's smartphone market share to above 12 percent, capturing third spot behind Lenovo and the market leader Xiaomi," said Neil Shah, research director at Counterpoint Research.
"Apple with iPhone 6 & 6 Plus has been able to impact Samsung's premium Galaxy S5 & Note 4 sales. But with launch of Xiaomi Note & Note Pro it is going to be a fierce battle in the premium segment, with Samsung being attacked from both ends."