Accused murder-for-hire cop Valerie Cincinelli sobbed in her jail scrubs during a short divorce hearing in Nassau County on Thursday — after a judge barred her indefinitely from making calls from the Tombs to her 5-year-old son.

Cincinelli, 35, is accused of scheming to have her estranged husband , Isaiah Carvalho, killed amid their bitter divorce.

Last Tuesday, she got in hot water for skirting the court’s conference-calling rules during her latest call to her kids from the Manhattan Detention Center, officials said Thursday.

Instead of dialing into a prearranged “866” phone-service number, Cincinelli called her 12-year-old daughter and had her connect the little boy.

A court-appointed psychologist was on the line as required, but when he tried to get the 12-year-old removed from the call, Cincinelli became argumentative and the shrink had to end the call, he said.

“I have concerns about continuing these calls if Miss Cincinelli is going to display such poor judgement and behavior,” the boy’s lawyer, Hani Moskowitz, told the judge, who suspended calls.