He tried to swim back to the boat but within a few strokes realised it was moving away from him too quickly.
He was about 30 nautical miles, or 55km, east of the North Island and ended up drifting a long way south to Mayor Island in the Bay of Plenty.
He trod water through the night, not sleeping, drifting many kilometres south until he ended up close to Mayor Island/Tūhua.
He was eventually spotted and rescued by three young men fishing nearby. His face was burned and his legs, arms and joints sore from treading water, but he was otherwise OK.
His boat, the Betty G, turned up off East Cape on Tuesday.
NZ Police confirmed a member of the public reported having found the boat just after 1.30pm yesterday.
“A boat belonging to the man rescued off the Alderman Islands on January 3 washed ashore today at Waihau Bay, Ōpōtiki,” a police spokesperson said.
“The owner has been notified and arrangements are under way to remove the boat from the shore.”