The low-cost carrier saw its pre-tax earnings rise from £43.5 million to £87 million.
The airline carried 7.7 million passengers this quarter, an increase of 9% with long-haul numbers rising by 15%.
Norwegian chief executive Bjørn Kjos said: “The third quarter results show that Norwegian’s long-haul operations and international routes are becoming significantly more important.
"This is where we see most of the future growth potential, enabling the company to compete in a global market with strong competition.”