Cabinet minister Josh Frydenberg has hit out at a fresh report claiming his mother, who fled regime-sponsored killing of the Jews after World War II, was not stateless when she arrived in Australia.

Mr Frydenberg last week scotched suggestions he could be a Hungarian citizen through descent, which would put him in breach of the constitution. He has been forced to issue a new declaration highlighting his mother's statelessness following an article in The Australian claiming his mother Erika Strausz was not stateless when she fled Europe with her parents and siblings.

The newspaper said Mr Frydenberg's mother "arrived in Australia using a valid passport" and "the immigration report was unclear about whether the family was travelling on Hungarian passports or some other form of valid travel documents for those displaced during World War II".

The immigration report noted that she listed her status as "stateless" but this appeared to conflict with NSW Customs Department senior officer J.H. Coventry Coventry's report which stated the Strausz family was of "Hungarian nationality", The Australian reported.