"For example, he has refused to attend to an obvious and serious alcohol problem, which has caused him to do inappropriate things in the presence of the children while impaired.
"He has left the children alone without supervision. He has left his young daughters in a hotel room with men who are unknown to the mother."
According to TMZ, the judge ordered Allen Iverson to see a psychiatrist, and to attend Alcoholics Anonymous meetings for a year.
The website also reported that the judge awarded Tawanna custody of the children and that Allen can visit them under certain conditions.
Among them, according to the report, is that he can't drink alcohol within 24 hours of visiting.
TMZ reported that Allen Iverson could not be reached for comment.
Iverson, 37, spent 14 season in the NBA, including two stints with the Sixers (1996-2007, 2009).
In his last NBA game, a start with the Sixers on Feb. 20, 2010, had 13 points and three assists.
Last week, there was talk of him signing with a the Texas Legends Development League team, an affiliate of the Dallas Mavericks, and using it as a stepping-stone to return to the NBA.
On Tuesday, Iverson turned down the offer but thanked Donnie Walsh, the Mavericks president of basketball operations, for the opportunity.
"I thank Donnie and Dallas for the consideration and while I think the D-League is a great opportunity, it is not the route for me," Iverson wrote on his Twitter account. "I realize my actions contributed to my early departure from the NBA, should God provide me another opportunity I will give it my all.
"My dream has always been to complete my legacy in the NBA.
"To my fans, I love yall! Not a day goes by that I am not asked when am I coming back, we all must accept my return is not up to just me."
The 11-time All-Star's divorce was often messy and expensive.
He reportedly agreed to pay $3 million to Tawanna, who at one point wanted him to list all of the women he had sex with while they were married.