Twice-weekly winter flights on Mondays and Fridays will get under way on 28 October.
Fares lead in from £43.90 one way.
Norwegian said the new route would complement its three existing non-stop Scandinavian routes from Manchester, growing its weekly services to nine.
The low-cost carrier operates three flights a week to Oslo, two to Stavanger and two to Stockholm.
Flights are operated by 186-seat Boeing 737-800 aircraft with free Wi-Fi and live TV.
Monday flights depart Manchester at 12.15pm, arriving Bergen 2.55pm, while Friday services depart Manchester at 8.50pm, arriving Bergen 11.30pm.
