Taiwan Taoyuan International Airport in Taoyuan County is Taipei's main gateway and is a 40-minute ride away from the city center. There are two terminals in the Airport. Four bus companies, Kuo Guang Bus, Free Go, Air Bus, and Evervoyage, operate a shuttle service every 15 to 30 minutes to and from Taipei from 5:30am to 1:30am. The one-way shuttle fare to or from the airport range from NT$ 120 to NT$ 150 per passenger.
References:
(1) Taiwan Taoyuan International Airport Tourist service link:
http://www.taoyuanairport.gov.tw/english/index.jsp
(2) Procedures & Regulations for Arrival:
http://www.taoyuanairport.gov.tw/english/Publish.jsp?cnid=1188