Tammy Tousignant and her husband Tom allege the news organisations, including the National Enquirer and Gawker.com, defamed them by making the false claims, which began in 2003 and were repeated earlier this year (11) when the actor-turned-politician confessed he had fathered a lovechild over a decade ago in May (11).
The documents, filed in Los Angeles at the end of last month (Jul11), state, "Tanner Tousignant is not the illegitimate son of Arnold Schwarzenegger... The reports regarding the Tousignants are entirely false."
The National Enquirer was one of the first outlets to publish articles suggesting Tammy, who worked as Schwarzenegger's private plane stewardess, had romanced the former California Governor and the affair resulted in the birth of her son, Tanner.
When Schwarzenegger came clean about his infidelity in May, several news groups speculated that Tanner may have been the child of the union. It has since become public knowledge that the woman who had a child with the Terminator star was the star's former housekeeper Mildred Baena.
The defamation documents filed by the Tousignants read, "Freedom of the press is a valuable right but it is not a license for gossipy tabloids to tar and feather innocent citizens and destroy their reputations for the rags' profit."
The couple is seeking an undetermined amount of compensation for damages it believes to be "in excess of $10 million (£6.25 million)".