The Council of Canadians and the Canadian Federation of Students say changes enacted by the Conservative government's Fair Elections Act will make it harder for tens of thousands of people to vote.
Steven Shrybman, the lawyer representing the two organizations, said Monday the groups are asking the court to speed up the process so it can hear the case before this year's election, which has to be held by mid-October but could come sooner.
Shrybman said he's prepared to ask for an injunction to prevent the new rules from being implemented for the 2015 election if the court can't hear the case before the campaign begins.
The Council of Canadians has challenged the Conservatives in the past, notably assisting a group of voters in bringing a Federal Court case in 2012 that tried to annul the election of six Conservative MPs. The organization lost the challenge and in 2013 declined to appeal to the Supreme Court.
Bill C-23, which the government named the Fair Elections Act, changed the polling station identification requirements and removed an option that let a voter vouch for another who didn't have photo ID that also listed his or her address.