The 37-year-old was arrested on suspicion of criminal damage and using violence to gain entry to the couple's home in Brentwood, Essex, in the early hours of yesterday.
Houghton, who is 29 and has an 11-week-old daughter named Dolly with Reid, recently told OK! magazine that her relationship with the former husband of Katie Price has been "strained" and has spoken of how their plans to marry were put on hold.
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A spokesperson for Essex Police said: "Police were contacted just before 1.30am this morning with reports of a disturbance at a property in Spital Lane, Brentwood.
"A 37-year old man from Brentwood was arrested on suspicion of criminal damage and using violence to secure entry, and is currently in police custody."The couple have an 11-week-old daughter named Dolly.