Most grooms get to recover from their wedding hangovers in private – instead Gold Coast Titans star Greg Bird is facing a very public humiliation.

The NRL star, 30, married fiancée Beccy Rochow in the coastal town of Byron Bay on Saturday but was issued with a criminal infringement for offensive behaviour after allegedly urinating on a police car the day after.

Police allege Bird left a pub on Bay St about 7.45pm (AEDT) yesterday and then urinated on the marked police vehicle.

Titans and NSW Origin star has allegedly urinated on a police car. (AAP)

On the night of the incident, police broadcast an alert that actually named the player after a witness spotted him urinating in the car park.

“Cars in the area keep a look out for Greg Bird, the NRL player,” the police dispatcher told officers.

“He's wanted by PORS 30 (the police car’s callsign) for urinating on a police vehicle at Apex park about 30 minutes ago.

“He was last seen leaving the Beach Hotel area.”

Bird faced a media conference this afternoon, saying he had eaten dinner at a Byron Bay pub with his wife and family before relieving himself in the venue’s car park, next to the parked police car.

The incident is alleged to have occurred the night after the pair’s wedding. (Instagram)

“I stupidly and regrettably went to the toilet in between two cars,” he said.

“I know it was a stupid and dumb thing - but I want to emphasise that I did not intend to disrespect anyone and I did not urinate on the (police) car.”

He told reporters he was aware one of the vehicles was a police car but had not aimed for it.

Witnesses reported the incident to police and Bird was issued with an infringement notice today. (Instagram)

The forward apologised to his club and his wife Beccy for the incident.

On Sunday he called her his “Glamour bride” on social media. He used Instagram to thank “everyone who joined us last night for our special day! Knot tied. Glamour bride. Best day of my life.”

He attended Byron Bay police station a short time later and was slapped with the infringement notice.

Gold Coast Titans CEO Graham Annesley said Bird would now face a disciplinary committee to determine a suitable punishment.

“This is very embarrassing from the club's perspective,” he said.

Bird wed Beccy Rochow in Byron Bay over the weekend.(AAP)

Bird is the Titans’ leader and a key part of this year’s drought-busting Origin side who let his football do the talking since he was cleared of two separate assault allegations in 2008.

He said he was now considering giving up alcohol as he waits for his turn to face the club disciplinary hearing.

Titans and NSW Origin star Greg Bird. (AAP)

But he also need to face his new wife.

“She was just disappointed. We had such a great weekend,” he said.