Pregnant model Katie stunned fans on Wednesday, 7 May by announcing via Twitter that she was divorcing Kieran after one year of marriage, accusing him of having a seven-month sexual relationship with Jane.
Jane and her husband Derrick have now spoken out, confirming that Jane and Kieran did have an affair.
Jane said she "deeply regrets" what happened.
Earlier this week, her husband Derrick had been quoted discussing the affair, saying: "A lot of this drama has been a storm in a teacup and there's a lot of misunderstandings to sort out. Now Katie has gone and put the whole thing for everyone to read about on Twitter, which she didn't really need to do, and a drunk kiss has turned into a full-on affair."
Jane and Derrick have now clarified those quotes, saying that Katie's account of what happened is accurate and that using the phrases 'storm in a teacup' and 'drunken kiss' did not accurately reflect the situation.
They said they are spending time together now to decide what the future holds, adding they will not publicly speak further on the affair and would appreciate their privacy being respected.
Kieran has yet to speak out.
Former glamour model Katie first stunned fans on Wednesday by announcing that she is to divorce part-time stripper Kieran in a series of emotionally-charged tweets.
In them, she branded Kieran a "disgusting human being" and Jane a "wh*re home wrecker sl*t". Kieran and Jane did not respond.
Following her Twitter outburst, Katie - who is unexpectedly six months pregnant with Kieran's second child - was pictured arriving at Jane and Derrick's home in West Sussex, followed by Kieran.
Although it had been branded a "showdown", Derrick has since told newspaper reporters that the meeting was in fact "calm".
Meanwhile, earlier today, it was claimed that Katie has asked Kieran to move out of their shared West Sussex house and into a cabin in the garden while she thinks about what she wants to do next.
Meanwhile, Kieran's grandmother Rosita Talbot, 80, has also spoken out and branded him a "naughty boy".
Outspoken Katie Hopkins - who is usually the first to stick the boot into Katie Price - has told her column readers that she is on the soon-to-be mum-of-five's side.
And Chantelle Houghton, who has a child with Katie's ex-husband Alex Reid, has also jumped to her defence. She told Reveal: "It's the ultimate betrayal".
Following her Twitter outburst on Wednesday, Katie has not used the social networking site. Although still active, Kieran has not tweeted from his account either.
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Katie Price's ex-boyfriends in pictures:
Copyright: PA Images