Because the case with her daughter was dropped. He was charged and served his time for a different child molestation case(he's a repeat offender) that came up after hers. So the terms of his release do not stipulate staying away from thier family. So legally speaking he isn't doing anything wrong being around them. I don't know how or why her case was dropped, but i can't help but think Mama June had a big part in that doing. Honey Boo Boo's dad is seeking custody of her but apparently Mama June was in charge of finances and he has no money. She claims to have put the money in a trust fund for her four girls. Which we all know is not true if shes buying her bf a car and is house hunting. After thier break up HBB's dad has been living in a trailer with no water or electricity. So not only does he not have the means to go to court to fight for custody of HBB his living situation is not one that the courts would place a child in. At least CPS is involved which is a glimmer of hope in this situation.
While he may not have a straight no contact provision with June & Honey Boo Boo, State Departments of Correction almost always have stipulations on offenders under parole or other supervision in which the offender must have only supervised contact with kids, must have all romantic relationships approved of in advance, etc. There are a TON of rules for sex offenders, and it is unusual for offenders to be released back into the community without extended supervision ... although it has happened before, I guess.