Molokai is tricky to get to - it is easiest to travel from either Maui or Honoluly - you have some other options from the other islands but they are pretty limited... i have found the following:
Airport Codes 
HNL - Honolulu
OGG - Kahului, Maui
MKK - Molokai - You'll sometimes see our airport listed as Ho'olehua, which is its physical location. You'll find more connecting flights through Honolulu than Maui, but either one will work.
the flight from OGG is about 20 minutes and the flight from HNL is about 25-30 minutes
Local Airlines - (airport code you want for Molokai is MKK)
Go Hawaiian InterIsland Airline Flights ? Mesa Discount Airfare: www.iflyGo.com: Book Flights Today (they have the best prices that i have found)
Hawaii's Island Air Aloha Airlines - Travel to Hawaii - Flights and Vacation Packages to the Islands of Hawaii on Aloha Airlines Hawaiian Airlines: Hawaii Vacations, Travel and Flights
There is a ferry from Maui to Molokai - takes about 90 minutes.
Maui Molokai Ferry, Molokai Princess Kaluakoi Golf Course Golf Package