Chapa, who starred alongside Jean-Claude Van Damme in 1994 action film Street Fighter, claims he met Roxanna Foell in Germany in 2006 while attending the Berlin Film Festival.
They embarked on a romantic relationship and she moved into Chapa's California apartment months later.
However, it was only when Foell fell pregnant with his child that he discovered she was already married, and she subsequently left Chapa and reunited with her husband back in Germany, giving birth to the actor's baby in 2007.
The 48 year old filed a paternity suit in a bid to gain visitation, but he claims Foell turned his life into a living hell by telling local police that he had raped her, prompting cops to arrest Chapa upon his arrival in the country to see his son.
According to papers obtained by TMZ.com, he is now taking Foell to court and is demanding damages for ruining his reputation.