Norway is moving to ban semi-automatic firearms as of 2021, which will mark a decade since mass murderer Anders Behring Breivik used such weapons to kill 69 people, most of them teenagers.
Peter Frolich of the Norwegian parliament's judicial affairs committee said private persons, including hunters, "should not have the right in Norway to access such weapons".
Mr Frolich said a broad majority in Norway's 169-seat parliament back the centre-right government's proposal.
No date for a vote was immediately set.
Breivik is serving a 21-year sentence for the 2011 attack where he first set off a car bomb outside the government headquarters in Oslo, killing eight people, before opening fire on the annual summer camp of the left-wing Labour Party's youth wing on a nearby island.
He later surrendered to police.