A former Muslim cleric who oversaw a marriage between an underage girl and a 34-year-old man in Melbourne has failed to overturn his conviction.

Ibrahim Omerdic, 62, believes he was wrongfully convicted because he never finished the religious ceremony between the 14-year-old girl and the Rohingya asylum seeker at a Noble Park mosque in September 2016.

The sacked imam launched an appeal against his conviction in the Victorian Supreme Court in October, arguing the prosecution failed to prove he solemnised the marriage in Melbourne's south-east.

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A former Muslim cleric who oversaw a marriage between an underage girl and a 34-year-old man in Melbourne has failed in a bid to overturn his conviction

He claimed he did not provide the couple with an Islamic marriage certificate.

But Justice Andrew Keogh refused the appeal in a judgment on Friday, meaning the conviction will stand.

Omerdic was found guilty in Melbourne Magistrates Court of unlawfully solemnising a marriage and sentenced to two months in prison.

But he avoided jail as he was immediately placed on a two-year recognisance release order.

Ibrahim Omerdic, 62, believes he was wrongfully convicted because he never finished the religious ceremony between the 14-year-old girl and the Rohingya refugee in 2016

The sacked imam appealed against his conviction in the Victorian Supreme Court, arguing the prosecution failed to prove he solemnised the marriage but that appeal was thrown out

Magistrate Phillip Goldberg in June 2017 sentenced Omerdic to two months' prison for his 'serious breach of trust' but released him immediately on a two-year recognisance release order.

Mohammad Shakir, a Rohingya refugee from Myanmar, pleaded guilty in April last year to going through a ceremony of marriage with a person not of marriageable age.

Omerdic was an imam of the Bosnian Islamic Society and Noble Park Mosque, but he was sacked after his November arrest over the wedding.

Mobile phone video captured him solemnising that wedding.

'If (he) is happy with something, do it. If (he) is not happy with something, don't do it,' he tells the girl in the shaky footage.

Omerdic can also be heard telling the child's mother and her betrothed: 'She's very young.'