DETECTIVES say the 25-year-old man found on Thursday night in Craigavon after he was murdered was Nathan Gibson.
A 40-year-old man has been arrested on suspicion of murder, and remains in custody.
Police said Mr Gibson was found “fatally wounded on the towpath” near Lake Road, after he was attacked.
He was pronounced dead at the scene, they added,
A post-mortem examination will be conducted.
On Friday, police sealed off the area as forensic teams began examining the area.
Detective Chief Inspector John Caldwell has appealed for information in relation to the incident and said he needed to know the movements of Mr Gibson on Thursday night between 17:30 GMT and 23:30 GMT.
He said his thoughts were with Mr Gibson’s family.
“Did you see anything or anyone acting suspiciously in the area of the towpath from Legahory Court to Lake Road area of Craigavon?” he said.
“We are also investigating another incident at a house in the Legahory Court area of Craigavon.
“Whilst we cannot get into specific details of this incident we are also appealing to anyone who witnessed anyone acting in a suspicious manner in this area late last night to contact police.”
The PSNI said that as investigations were being carried out, there may be disruption to motorists and residents.
DUP MP for Upper Bann Carla Lockhart said her thoughts and prayers were with the family of the deceased.
“It is a very horrific incident and I can only imagine the hurt and devastation within their household,” she said.
She added it was important to give police “time and space to investigate” and she understood patrols in the local area would be increased.
Sinn Féin’s MLA for Upper Bann, John O’Dowd, said that the news of the discovery of a body was “tragic” and that “the circumstances remain unclear”.
He ur g ed anyone with information to contact police.