The personal trainer was reportedly taken into custody after police were called to the couple's home in East Sussex on Saturday, 3 October.
A spokesperson for Sussex Police told Sky News: "A 35-year old man was arrested at the address on suspicion of causing actual bodily harm to a 35-year old woman, and of unlawful possession of a Taser.
"He was later released on police bail until 24 October while enquiries continue. The woman had sustained bruising to her face and arms."
Reveal has contacted Kerry's rep.
Kerry has not spoken out via Twitter, instead sharing a sweet photograph of her five children together with the caption: "My world."
The arrest comes just after the couple celebrated their first wedding anniversary in September. They have one child together, Dylan Jorge, while Kerry is also mum to four kids from previous relationships.
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