Police spokesman Morten Kronen said the helicopter was "totally smashed" and TV footage showed smoke billowing from the crash site not far from the small island of Turoey.
Eyewitness Rebecca Andersen told Norwegian newspaper Verdens Gang that the helicopter's rotor blades "came rushing toward us", before she heard "a violent explosion".
Crash: Emergency workers at the crash near Bergen in Norway
AP
UK accident investigators have been deployed to help the investigation into the crashed helicopter, which is believed to have been carrying passengers from an offshore oil field when it came down.
An FCO spokesman said: “We have offered our support to the family of a British national who has sadly died in a helicopter crash in Bergen, Norway.
"Our thoughts are with all those affected. We will remain in contact with local authorities.”