Instead, the birth mother's former partner will be named in his
place. They separated five years ago.
Judge Stephen Walmsley sympathised with the man - who cannot be
named - but upheld that he had no legal right to be listed as the
father under current Australian law.
The man, who did not sign a contract defining his role before the
birth of the child, said it was "a very bad day for fathers".
Speaking outside the district court, he added that he was
devastated.
"She's not my daughter as far as the law is concerned. The laws
are totally inadequate, there are no laws to protect people like
me," he told the BBC.
The father had responded to a newspaper advertisement by a lesbian
couple seeking help to conceive a child.
The birth mother's former partner said she wanted to replace the
father on the birth certificate to avoid complications in social
settings.
"I have considerable sympathy for (the man) - he has done what
he considers has been his very best for the child," the judge
said.