The singer, who said he had “a very natural empathy with women”, made the remarks during a interview with the Guardian.
He told the newspaper: “I regret the philandering.
“In fact, can I issue a public apology? They know who they are and I’m truly sorry.”
The flame-haired star admitted a red-headed man “is not generally considered to be a sexual icon” but said that never stopped him.
He said: “Between 1985 and 1987, I would sleep with about three women a day, every day. I never said no. This was what I wanted from being a pop star. I was living the dream and my only regret is I hurt some really good girls.”
Hucknall’s reputation as pop’s leading lothario has seen him linked with countless women including actress Catherine Zeta-Jones, model Helena Christensen and DJ Lisa I’Anson.
The Manchester-born star founded Simply Red in 1984. The band have had a string of chart success including the hit Holding Back The Years, in 1986.
He recently took the place of Rod Stewart in a series of comeback concerts by 1970s rockers the Faces.