Aircraft from the National Police Air Service, North Wales Fire & Rescue Service, North East Wales Search and Rescue and Welsh Ambulance Services Trust were called to a concern for safety incident at the river at Pontcysyllte on Saturday afternoon.
In a statement on their Facebook page in the early hours of Sunday the North Wales Police said a body had been recovered.
Officers said: "Sadly, the body of a man was recovered. His family are currently being supported by officers, and enquiries are ongoing, on behalf of HM Coroner."
The identity of the man has not been revealed.
Well-wishers responded with concern on the police Facebook page.
One wrote: "Thoughts are with his loved ones, and also the search and rescue teams involved," while another said: "So sad, deepest condolences to the family and loved ones."
Another person said: "Thoughts with his family and friends. Thanks to all involved in search."