Thousands of people have signed a petition on activist website change.org calling on a Sydney council to sack their deputy mayor after he closed down a street for his extravagant wedding ceremony.

Auburn deputy mayor Salim Mehajer married his wife Aysha in an Islamic ceremony earlier this month but held a lavish wedding party in his Lidcombe street on Saturday.

Councillor Mehajer angered neighbours when he closed down the street without permission and sent fake flyers via a letter-box drop warning that their cars would be towed if they got in the way.

The wedding also took over a local park, included four helicopters and a fleet of sports cars and motorbikes.

A pre-wedding video of the couple's courtship was filmed at locations such as the University of Sydney and the Opera House.

The creator of the Change.org petition, identified only as Yasmine A, has called on council to immediately sack the deputy mayor from the council.

"Deputy Mayor Salim Mehajer has destroyed the credibility of Auburn Council to operate as a transparent and honest agency," the petition said.

"One of many examples of his abuse of power and arrogance: deputy mayor distributes fake flyer to residents, shuts down Sydney street for unauthorised over-the-top ceremony in western Sydney leaving locals and police fuming."

Police said they were not involved in the wedding and were at the street to control traffic and the large crowd.

They said they would be asking the family to pay the bill.

So far more than 4,000 people have signed the petition.

A statement released by Auburn City Council earlier this week said the matter was regrettable and it was working with police to investigate the incident.

A council spokesman said on Tuesday it would not comment on the petition or the incident further.