Norwegian will instead make short-haul its sole focus, placing more than 1,000 UK pilot and cabin crew roles at its Gatwick long-haul hub at risk.
In excess of another 1,000 roles across Norwegian’s European and US long-haul operations are also under threat.
Balpa said around 300 pilots and more than 1,000 staff in total would be affected by Norwegian’s plans in the UK.
"This news will be personally devastating for all Gatwick-based crew," said Balpa general secretary Brian Strutton.