Conservative MP Cory Bernardi says the payment of Centrelink spousal benefits to the wives of polygamous Muslim men is political correctness gone mad.

Former PM Tony Abbott called for action after learning about the issue, only to be told that it would cost more to pay them the single parent benefit.

Centrelink said it did not hold data based on polygamous relationships or religion. The Islamic marriages are religious unions that are not registered.

Bernardi says payments are political correctness gone mad. Photo: AAP

“We are always told the data is not kept. I think that is a convenient excuse,” Senator Bernardi told News Corp.

“The lack of will to confront some individuals who seek to apply a different law to themselves means politicians are afraid to speak out.”

Finance Minister Mathias Cormann dismissed the story, saying the government doesn’t recognise multiple marriages.

“The proposition that somehow the government is authorising polygamy, that is just completely ridiculous,” Senator Cormann told Sky News.

He also rejected the suggestion the government was refusing to crack down on such payments because of some sort of political correctness motivation.

With AAP