Stern said he and Smith are confident he is the father, and "based on when the timing of when the baby was born, there really is no doubt in either of our minds. "

Entertainment reporter and photographer Larry Birkhead also claims to be the father of the girl, named Danilynne Hope.

In a statement, Birkhead said Smith told him he is the child's father, and that he has proof.

He said he accompanied Smith to doctors' appointments until a "minor disagreement" took place while she was pregnant. He suggested a DNA test be conducted to determine the child's paternity. He also made similar comments to "Entertainment Tonight. "

In response to Birkhead, Stern said, "I think, first, you have to look at what his motives are. If he honestly believed he was the father, based on when the baby was born, he should have handled it appropriately...Handle it through the proper channels, not through television and through the media. "

Birkhead also has sent "a slew" of e-mails to Smith, Stern said, calling it "just completely inappropriate. "

"Anna has had problems with people going to the media in the past about her, and for that reason, most people around her, including myself, have signed confidentiality clauses that we won't go to the media about her, " Stern said. "I'm just very shocked at how he's handled this, under the circumstances. "

Asked whether Smith and Birkhead had a relationship, Stern said, "she never considered him her boyfriend. " He would not comment on whether Smith was intimate with Birkhead.