From the USA, your only choices are Air Tahiti Nui (TN) or Air France (AF) from Los Angeles (LAX), or Hawaiian Airlines (HA) from Honolulu (HNL) once a week. You may be able to pick up a code share flight from DL, AA, or Qantas, but the carriers from LAX are limited to TN and AF.

I have flown all 3 carriers to PPT and definitely prefer TN, both for service and schedule.

There is a good discussion of comparisons between TN and AF on Trip Advisor at this link:

http://www.tripadvisor.com/ShowTopic...y_Islands.html