Internation Travel
There are direct international flights from major US, European, and Asian cities to Wuhan Tianhe Airport. Non-stop flights are available from Hong Kong, Moscow, Osaka, Tokyo, Nagoya, Shizuoka, Paris, San Francisco, Seoul, Singapore, Taipei. You may also fly to major Chinese port cities like Beijing, Shanghai and Guangzhou and then take domestic connection flights or fast trains to Wuhan. Travel time from Beijing or Shanghai to Wuhan by fast trains is about 4-5 hours. Local transportation between train stations and airports normally takes 1-2 hours.
Domestic Travel
There are nonstop flights from many major Chinese cities to Wuhan Tianhe Airport. There are three major trains stations in Wuhan (Wuhan Station, Hankou Station and Wuchang Station) with direct fast trains connections to major Chinese cities within 5 hours.
A good web site to search for flights within China or originating from China is http://www.kayak.com/. Another reputable and good web site for booking domestic flights and train tickets is http://english.ctrip.com.