Master P has each of his kids on tape saying he DID NOT  kidnap them, and their mom has trouble with booze and weed … claims she  adamantly denies.

As TMZ first reported, Sonya Miller  went to court yesterday trying to obtain an  emergency order forcing the rapper to return their 3 minor children  to her. Her request was denied until a court hearing in July.

But today  a video popped up on YouTube of Master P interviewing each of his kids about the  situation — and they all backed their dad … claiming their mother was the bad  influence who had exposed them to weed and alcohol.

Master P goes on to  say he wants Sonya to get help … specifically rehab.

Responding to the  video, Sonya’s attorney tells TMZ she vehemently denies Master P’s allegations  and calls the video “a joke,” “despicable” and “offensive.” Miller’s lawyer says  she’d rather face her ex in court and not battle things out through the  media.