The airline said that "no aircraft now in service has the range to fly these direct routes with passengers and luggage at full capacity".
Joyce has written both companies' CEOs and says the manufacturers are now working on aircraft models capable of completing the historic distances.
Drastic restructuring, a boom in domestic travel and a well-timed exit from unprofitable mining industry routes have helped Qantas deliver its second-highest underlying full-year profit result on record.
Qantas said the result showed its three-year turnaround programme had made it a more efficient business, with an operating profit margin of 9.9 per cent compared with the airline industry average of 4.4 per cent.
The polar route is longer than the 9,200 nautical miles western route but benefits from a strong tailwinds rather than powerful headwinds on a more direct western route, the wire agency reported.
The strategy delivered a record profit a year ago after a string of hefty losses, putting the airline in a position to offer share buybacks and staff bonuses.
Qantas, which reinstated its dividend last year for the first time since 2009, kept this year's final dividend at 7 cents per share.
Chief executive Alan Joyce said the result marked the completion of the company's turnaround plan which began in early 2014. Within Jetstar International, passenger numbers jumped 8.4 percent to 6.2 billion while its revenue per kilometres rose 5.2 percent and its available seat kilometres rose 1.0 percent.
"In that time, we've tackled some hard structural issues, become a lot more efficient and kept improving the customer experience".
I don't mind the idea of a 20-hour flight, as long as the timing of meals is predictable so I can plan my sleeping correctly.
"All of their segments are doing well", said William O'Loughlin, an investment analyst at Rivkin Securities Pty in Sydney.
Qantas has confirmed that Australians living on the east coast can expect direct flights to London, Paris, New York and Rio within five years if Boeing and Airbus SE deliver capable aircraft to complete the journey.
Qantas has announced it is investigating direct flights from the east coast of Australia to London and NY by 2022.