The family asked for privacy to grieve the loss at this time and turned off comments on a Facebook page.
Police had said earlier they were not in a position to provide any further details until formal identification and a post-mortem examination had taken place.
A spokesman for Fire and Emergency NZ said they had assisted police today in the Waikanae area.
Pryor, aged 63, was last seen on November 26 after leaving his workplace.
His last confirmed sighting was at 8.45am on the day he went missing on Elizabeth St, Waikanae.
Shortly beforehand, Pryor was spotted on CCTV footage from the Waikanae Chartered Club at 8.22am wearing blue overalls and his Travelmarvel backpack.
Pryor's daughter Shannon Barclay told the Herald five days ago her dad's disappearance was out of character for him because he was a stickler for routines, a homebody, and didn't often leave his workplace during work hours.
The family said the local community have shown their support in the masses, with hundreds of people across the Wellington region coming together to search in Waikanae, the location where Pryor was last seen.