A disciplinary panel of the England and Wales Cricket Board (ECB) banned Kaneria in June 2012 after he was found guilty of corruption while playing for Essex county in a limited-overs match in 2009.
The panel imposed a fine of 100,000 pounds on Kaneria. He lost his second and final appeal against the penalty in August 2014.
Khawaja Naveed, a lawyer for the ECB, said the petition in the Sindh High Court in Karachi demands Kaneria pay the fine as well as additional costs incurred over the course of the case.
Naveed said a notice would be issued to Kaneria by Saturday and in case the former leg-spinner fails to pay the ECB had asked the court to demand the former player sell his property.
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Kaneria, who said last year he would consider appealing in either a European court or the Court of Arbitration for Sport in Switzerland, told AFP he had not yet received formal notification of the action.
"I have come to know about this through the media and if I get any notice I will consult my lawyers," he said.
Kaneria is Pakistan's most successful Test spinner with 261 wickets in 61 matches.
He is also only the second-ever Hindu to play for Pakistan at the highest level -- the first was his wicket-keeping cousin Anil Dalpat -- and was something of a poster-child for the country's minorities until his ban.