The flight, which will run five times a week, will be operated by Air Asia’s low-cost long-haul affiliate, AirAsia X.
Kathleen Tan, AirAsia’s regional head of commercial, said that Taipei is the "final piece of the jigsaw puzzle" in its oriental network strategy.
"In the past, we have been receiving a lot of requests from our guests and the travel community in Malaysia and Taiwan, thus we are really thrilled that this route is now finally happening," she explained.
Ms Tan added that the airline remained confident that the flights to Taiwan would be popular despite the ongoing global economic uncertainty.
It is hoped that the Taiwanese public will take advantage of Kuala Lumpur’s position as a gateway to onward destinations in Asia, Australia and Europe.
The airline revealed earlier this month that its flights to Bangkok were operating as normal despite the state of emergency declared by the Thai government.