Vernon Kay apologised on his Radio 1 show after sending explicit text messages to around five women.
The All Star Family Fortunes presenter, who has two young daughters with his wife Strictly Come Dancing host Tess Daly, interrupted his weekly radio show to tell his two million listeners he had been "foolish and stupid".
Without referring directly to the texts, Kay said he had "disappointed and let down a lot of people", adding: "To my family and everybody else, I am very sorry."
Kay denied having sex with the women he had texted but admitted he had flirted while using the computer phone service Skype.
In an interview with She magazine just weeks before reports of the raunchy messages emerged, Daly, 38, spoke about how much she trusts her husband.
She said she did not get jealous when the 35-year-old former model got attention from other females, because he told her "all girls ever want to talk about" was her.
The Bolton-born presenter married Daly, also a former model, in 2003 and their daughter Phoebe was born the following year.
Their second daughter, Amber, was born in May last year.
The couple worked together in 2007 on the BBC show Just The Two Of Us which saw celebrities performing duets with professional singers.