The Fijian men who were beaten were initially thought to have escaped from prison last year. Fijian police ruled this out but did not confirm their identities.
Mr Goff said the video recording brought to light a pattern of behaviour by Fijian security forces towards detainess which Amnesty International and Fijian nations had said was
commonplace.
"When security forces put themselves above the law it puts all citizens at risk. This includes those who express opposition to the actions of the military government in suppressing other human rights such as freedom of speech, a free press and the right to elect and change a government.
"New Zealanders want to see Fiji re-join the Pacific community of nations as a country that practices democracy and respects the rights of its own people.''
He said if the regime condoned security forces' brutal activities it diminished confidence that Fiji could restore democracy, and tarnished its image as a country where people felt
comfortable visiting.
Mr Key has said New Zealand was concerned about Fiji's promise of an election in 2014 after the interim government override many of the recommendations made by an independent Constitutional Commission.
The brutal, nine-minute-long video posted online last week shows one man handcuffed in the back of a ute being beaten with rods, while another man is on the ground being
tugged at by a dog.
Human rights groups have accused the Fiji military of carrying out the assaults on the men, and the Fiji police say they are investigating.