A tramper has died while walking the Milford Track in Fiordland.

Police say the Japanese national appeared to have suffered a heart attack after falling.

Senior Sergeant Dave Raynes of Invercargill police says the 63-year-old was tramping alone.

He says police were alerted to the discovery of the man's body late this morning.

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Dave Raynes says arrangements are being made to have the body winched out by helicopter as it is in an awkward part of the track.

He says the death will be referred to the coroner.