Officers were called at 6.22am on Saturday 26 May to a report of a concern for the welfare of a 50-year-old woman who was found in the water near Bridge Street.
She was taken to the Royal Hampshire County Hospital in Winchester where she later pronounced dead.
A post mortem examination has been undertaken today (Sunday 27 May) and the findings were inconclusive. Following enquiries, her death is no longer being treated as suspicious. Police will now file will now be prepared for the coroner.
A 39-year-old man from Andover, who was arrested on Saturday on suspicion of murder, has been released with no further action.
Detective Chief Inspector Ellie Hurd said: “I would like to thank residents in Andover for their patience and support while we made our enquiries into the circumstances surrounding this incident.”