It's the first time the 39-year-old has broken her silence since the allegations began, after she was absent from the X Factor final earlier this month.
Posting a snap of the pair of them to Instagram, Mel wrote: "This is for my fans having problems with my Twitter will be back soon!
"I'm very good was very polly [sic] but much better now and for the record my hubby would never lay a hand on me sorry took so long but any response fuels rumours #locemyfamily #lovemyfans"
Mel's response comes after Stephen took to Twitter to also rubbish the rumours.
He wrote: "I don't usually respond to Twitter msgs but I will respond to comments of hitting my wife which I think are quite disgusting and un true!
"Mel was very ill a bunch of doctors helped her get better if fans can't just relax B4 being negative they r not real fans of @OfficialMelB [sic]"
Former Spice Girl Mel also hit back at claims she and the children were spending Christmas without 39-year-old Stephen.