NASSAU, Bahamas -- Larry Birkhead said outside of Bahamian court Tuesday that DNA tests confirmed that he's the father of Anna Nicole Smith's baby.

"I hate to be the one who told you this, but I told you so," Birkhead jubilantly declared as a crowd in front of the courthouse erupted in cheers. "My baby's going to be coming home pretty soon."

Birkhead, who was Smith's former boyfriend, and Smith's lawyer-turned-partner, Howard K. Stern, attended the closed session in the custody fight over 6-month-old Dannielynn Hope Marshall Stern.

Stern was listed as the father on the child's birth certificate.

"I'm obviously very disappointed, but my feelings toward Danniellyn have not changed," Stern said outside of the courtroom.

Stern told reporters after the hearing that he's not going to fight Birkhead for custody.

"We're going to do what we can to make sure that the best interests of Danniellyn are carried out," Stern said. "I'm going to do what I can to make sure that he gets sole custody."

Stern also said that Birkhead is welcome to start spending as much time as he wants with the girl.

Even Smith's estranged mother, Virgie Arthur -- who had also sought custody -- seemed appeased by the DNA results.

"I'm happy that Dannielynn will know who her real father is," Arthur told reporters outside of court. "I look forward to working with Larry to raising my granddaughter and doing the very best for her."

Dr. Michael Baird, an expert in genetic evidence, said that DNA analysis also confirmed that Birkhead is Dannielynn's father.

Baird, who analyzed the results of a March 21 DNA test, announced the results outside the court.

"Essentially, he's the biological father," Baird said.

The child could inherit millions from the estate of Smith's late husband, J. Howard Marshall.

Birkhead, a Los Angeles photographer, began seeking custody before Smith collapsed and died in a Florida hotel Feb. 8.

An autopsy revealed that Smith, 39, died of an accidental overdose.