The cast member, Steven Jordan, known as "Stevie J," is also a Grammy-winning record producer.
He was arrested Monday night and awaiting an Atlanta court appearance Tuesday. The name of his lawyer was not immediately known.
U.S. Attorney Preet Bharara (buh-RAH'-ruh) in Manhattan says Jordan failed to pay the support for two children while earning $27,000 monthly.
Prosecutors say Jordan failed to make a voluntary payment in the first nine months of 2013. At the time, he earned $193,000 on the show and another $100,000 from music royalties.
VH1 did not immediately respond to a comment request.
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