She claims her father, Ronald Fenty, and his business partner have falsely suggested that she is connected to their firm, Fenty Entertainment.
The lawsuit says Rihanna owns trademarks in the US for the Fenty name and has sent formal "cease and desist" requests.
Singer Rihanna has taken her father to court in the US, accusing him of exploiting her name to further his entertainment business.
She claims her father, Ronald Fenty, and his business partner have falsely suggested that she is connected to their firm, Fenty Entertainment. Their conduct has misled the public and hurt her Fenty brand, the name of her beauty business, the lawsuit says.