After hearing both the sides, Justice P N Prakash of the court's Madurai bench rejected the couple's submissions and said their statement was false as claimed by the actor.
The high court had earlier reserved its order on Dhanush's petition against the couple's lawsuit in a magisterial court.
The counsel for the couple said they would appeal against the order.
The couple, R Kathiresan (65) and Meenakshi (53), had moved the Melur judicial magistrate court claiming that Dhanush was their son.
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However, the actor denied the submissions.
A medical report was filed last month in response to the court's directive for medical verification of Dhanush's identification marks in the wake of the couple's claim.
The couple had also claimed that the documents filed by Dhanush's parents such as birth and transfer certificates and ID marks were fake and fabricated.
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