The man's body was located by search crews at 3.35pm in the Mt Lancelot area of the National Park.
A police spokeswoman said he the man's body was recovered in the hours since the discovery this afternoon.
He was tramping with two other people over the weekend who activated an emergency beacon when they realised he was no longer with them.
A Rescue Co-ordination Centre NZ spokesman the beacon was activated in the Jellicoe ranges area about 7pm yesterday.
The Jellicoe Ridge is located to the west of Arthur's Pass in the Southern Alps, running between Mt Guinevere (2042m) and Mt Lancelot (2112m).
Last night a rescue helicopter from Greymouth scoured the area without success.
However, this morning three LandSAR crews and an Alpine Cliff Rescue team were deployed to search for the man, the RCCNZ spokesman said.
