The former Leeds, Everton, Newcastle and Bolton midfielder was found hanged at his home in Chester this morning.
Police say there are no supsicious circumstances surrounding the 42-year-old's death.
The Football Association of Wales confirmed the news, saying that Speed's family had authorised the release of the information.
A spokesman for Cheshire Police said: "At 7.08am this morning, sunday 27 November, police were informed of an incident at Aldford Road, Huntington. Officers went to the scene where a 42-year-old man was found dead. There are no suspicious circumstances surrounding the death and next of kind have been informed." The spokesman added that man was found hanged.