The Celebrity Big Brother winner had been reported as saying that he had decided to end their relationship due to her friends interfering with their lives.
However, Reid took to Twitter earlier today (April 29) to slam the claims, writing: "Who evers the source who said Ive called the wedding off,please step forward? Not very nice& how do u think Chantelle will feel (sic)?"
A source had previously told The Sun that Houghton was in "floods of tears" following the alleged cancellation.
Reid was quoted as saying: "I've told Chantelle I'm not marrying her when things are like this.
"Friends keep pushing her to say things about us that aren't true and keep poking their noses into our lives no matter how much it hurts me."
The former cage fighter also responded to reports that he had described the engagement of ex-wife Katie Price and Leandro Penna as a "kick in the teeth".
He tweeted: "Just had google alert about my comments on KP & Leandro.Well I never did say those things,not even on my radar,& certainly not kick in teeth.
"I really couldn't care less bout my ex or whatever she's doing,& as 4 my Chantelle,I'm totally madly deeply in love with her (sic)."
Alex Reid recently stated that he would like to become an MP in the future.