A Victorian baby girl has been named by a tribunal, after her parents squabbled over whose surname she should take.

The separated parents, who cannot be named for legal reasons, agreed on the child's first and middle names, but each wanted the child to have their surname only.

VCAT has ruled on the baby girls' surname. File image. Credit:AAP

To settle the dispute, the Victorian Registry of Births, Deaths and Marriages used its discretion in May to give the girl her surname, using a hyphenated version comprising both parents' surnames.

Unhappy, the parents challenged the decision in the Victorian Civil and Administrative Tribunal.