12:10 PM PT -- TMZ got a hold of Matt's arrest report, and it sounds like he allegedly got physical with his current girlfriend. According to the document, the woman, Valerie Bell, claims Matt punched her in the face at a Denny's parking lot in the early hours of Saturday morning -- this in the presence of a second woman, who says she witnessed it go down.
The witness also told cops that Matt got super close to her, snatched her cigarettes -- including one in her mouth -- and tried chucking them on the roof.
When officers arrived, they say Matt had already left -- but Valerie called cops a few hours later in Maricopa to say he had circled back to her home, and the police eventually found and arrested him. Upon arrest, cops say they discovered a warrant for the other April incident. He was arrested without incident, per the report.
Kenya Moore's ex-boyfriend, Matt Jordan, was hauled in by cops in Arizona over the weekend for a list of alleged crimes, which include assault and theft.
The former 'Real Housewives' star was booked Saturday in Pinal County for trespassing, plus 3 separate charges -- aggravated assault, theft and threatening/intimidating with damage to property -- which stem from an arrest warrant issued in Maricopa County.
Matt's bail was set at $3,250, but no one's paid it -- he's still in custody, and has a hearing this week to face the charges.
As for how all this got started, court docs show the initial incident allegedly went down back in April -- but, apparently, Matt never showed up in court to deal with it. He got nabbed for trespassing Saturday, which revealed the outstanding warrant.
The guy is a 'RHOA' notorious for a number of reasons, but he's probably best remembered as the one who brawled with fellow reality star Peter Thomas, who Matt claimed had a weapon on him ... believed to be a box cutter or knife of some sort.
Kenya also got a restraining order against Matt in 2017, after claiming he was hounding and harassing her by calling her up to 30 times a day and allegedly threatening her.