Michael (Mickey) Hamill, 67, was reported missing last Thursday. He was last seen alive at the Grenadier Restaurant in High Park.
A Facebook page had been created as part of the search for Hamill.
On Monday evening, a statement attributed to Hamill's family was posted on the page, thanking the public for their help and support in recent days.
But the statement said it was "with great sadness that we announce the passing of Mickey Hamill."
The family said it would make further comment shortly and asked for others to respect their privacy in the meantime.
Police say a man's body was found in High Park on Monday. Foul play is not suspected.
Police had spent much of the weekend looking for Hamill.