Authorities have confirmed that a body found Sunday is that of Master Cpl. Richard Curnow, a soldier who went missing on May 5 during a training run.

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Master Cpl. Richard Curnow, 25, went missing May 5 while on a training run in Edmonton. (EPS)

The identity was confirmed through dental records, Edmonton police said.

"Based on autopsy results and the investigation, the death has been deemed non-criminal, therefore the [Edmonton Police Service] will not be releasing the cause of death," police said in a statement.

Curnow's body was found in the North Saskatchewn River near Redwater, Alta., about 65 kilometres northeast of Edmonton.

Curnow, 25, was last seen starting a 10-kilometre morning run with eight fellow soldiers through Emily Murphy Park in Edmonton's river valley. He did not show up at the finish area and his vehicle was still in the parking lot.

Searchers combed through a 12-square-kilometre area immediately after his disappearance. The search was called off May 6 after the military and police found no evidence to suggest what may have happened to Curnow.

Curnow joined the Canadian Forces in 2004 and served two tours in Afghanistan. He had a three-year-old daughter and was separated from his wife.