Opponents of Bendigo's first mosque are hoping to present their case to the country's highest court in a last-ditch bid to stop the controversial project.

Bendigo residents led by local woman Julie Hoskin have waged a long legal battle against the mosque since it was first approved for construction by Bendigo City Council in 2014.

Ms Hoskin and her supporters took the matter to the Court of Appeal, after losing their case in the Victorian Civil and Administrative Tribunal.

But the Court of Appeal threw out the case on December 16 last year.

Now, the opponents' group has sought special leave to seek an appeal in the High Court.

Their application was lodged on January 19.

Under the complicated procedures of the High Court, any applicant must first apply for "special leave to seek an appeal".

The opponents of the mosque have to persuade the High Court that they have special reasons for their case to be heard.

The residents claim that the mosque would have "negative social effects" in Bendigo. 

The group has argued the mosque would create noise pollution and traffic congestion in the area, but some of their objections include "Islam's integration with western culture", the prospect of "more people dressed in Islamic dress" and the "Islamification of Bendigo".

Their latest appeal documents were lodged outside the 28-day High Court deadline, meaning the group has also had to ask for a time extension. 

It is understood the application seeking leave for an appeal and the application for extra time will be considered together, although no date for a hearing has been set.

Ms Hoskin and her supporters have been crowd-funding their legal battle and have said they have so far spent more than $200,000.

The Australian Islamic Mission applied in November 2013 to the Greater Bendigo City Council for the planning permit to build the mosque on Rowena Street at East Bendigo.

It was first approved by the council in June 2014, prompting a series of objections and appeals and creating divisions within the regional Victorian city.

Opponents of the mosque were ordered to pay $55,000 in court costs after their unsuccessful appeal in the Court of Appeal.

The court awarded $30,000 in costs to the City of Greater Bendigo, and $25,000 to the Australian Islamic Mission.

The group of objectors had been asked to provide $150,000 in security during the proceedings, with the final costs coming in under that amount.

With The Age