The Socialist Left party politicians Baard Vegar Solhjell, a former environment minister, and Snorre Valen said the public debate and policy changes in the wake of Snowden’s whistleblowing had “contributed to a more stable and peaceful world order”.
Being nominated means Snowden will be one of scores of names that the Nobel committee will consider for the prestigious award.
The five-member panel will not confirm who has been nominated but those who submit nominations sometimes make them public.
Nominators, including members of national parliaments and governments, university professors and previous laureates, must enter their submissions by 1 February.
The prize committee members can add their own candidates at their first meeting after that deadline.