Delta Airlines offers a weekly Saturday non-stop flight from Atlanta to Bonaire and return. Delta is utilizing a Boeing 737-800 jet with seating capacity for 160 passengers for this flight.
Continental Airlines offers two to three non-stop weekly flights. The first is a round-trip flight between Newark and Bonaire which operates during periods of high demand, utilizing a Boeing 737 with 124 seats. Continental Airlines also flies weekly non-stop flight from its Houston hub. During the eight busiest months of the year, Continental also operates a second rotation from Houston each Saturday evening, arriving on Bonaire on Sunday morning. For more information about when the second rotation operates, visit the Continental web site. 
Insel Air operates a weekly rotation from Miami to Bonaire. The flights take place every Saturday throughout the year. Insel Air utilizes an MD 82 aircraft configured with 152 economy seats. For reservations on Insel Air, travelers from the United States should call toll free 1-877-546-7352, or consult their professional travel counselor. More information on Insel Air can be obtained at http://www.fly-inselair.com or by contacting the Insel Air call center on Curacao at + 5999-737-0444.
Please note that U.S. carriers may seasonalize the flights noted above, which means they may postpone flights during periods of low demand. It is always recommended to contact the airline or your travel professional to check on flight departures.
American Airlines and Insel Air fly non-stop daily to Curaçao from Miami, Insel Air flies on Wednesdays and and Saturdays non-stop from Charlotte, North Carolina to Curacao with continuing connections to Bonaire and Continental Airlines flies non-stop on Wednesdays and Saturdays to Curacao from Newark. Passengers then may use Dutch Antilles Express to connect to Bonaire. Flying time between Curaçao and Bonaire is approximately 15-30 minutes.

Or, Divi Divi, which flies between Bonaire and Curaçao numerous times on a daily basis, can be reached at: +599-9-839-1515 or fax +599-9-868 1949. Currently, Insel Air flies between Curaçao and Bonaire seven times daily and offers a weekend jet service on Friday nights, Saturday mornings and Sunday afternoons to accommodate more passengers and luggage. Their offices can be reached in Curaçao at phone: +599-9-733-1521 or +599-9-733-1522, or at the airport at +599-9-868-4400 or 868-6600. And finally, Easy Air offers five roundtrip flights per day between Curaçao and Bonaire. They can be reached via email at flyeasyair@gmail.com, or by phone locally at 796-3939 or cellular 515-3939, fax is 869-3999.
Another routing option is to fly on any of a number of major U.S. and South American carriers to Aruba and then take Dutch Antilles Express or Tiara Air from there to Bonaire.
Contact Dutch Antilles Express at their call center, which can be reached at +599-717-0808, and which is open Monday through Friday from 9:00 a.m. to 6:00 p.m.  Payment can be made with debit or credit card, with an e-ticket sent by email or fax.  Reservations on DAE can also be made by emailing reservations@flydae.com or faxing +599-717-0880. They fly several times daily to Bonaire from both Curaçao and Aruba.

Tiara Air flies non-stop flights six times each week from Aruba to Bonaire and back.