Police named the man on Thursday as Codey Jervis, 32, a New Zealand national living in London.
Police have declined to release other details about Mr Jervis.
However, they are seeking public help in their investigation into his movements before he died.
They would like to talk to anyone who was on or near Wānaka-Mount Aspiring Rd, Ruby Island Rd or the nearby lake track between Waterfall Creek and Edgewater Hotel and spoke to or saw Mr Jervis between 9.30pm on Saturday, December 30, and 7.30am on Sunday, December 31.
He is described as an athletic Caucasian male, wearing a light blue top underneath a dark jacket, dark pants and white sneakers.
Police would also like to speak to anyone who found or moved any clothing or personal items on the beachfront or surrounding area at Waterfall Creek between December 30 and January 1.
- Police 105, file number 231231/9558.