The ashes brought by Mr Kapoor in a special aircraft will be taken to holy island town of Rameswaram tomorrow and immersed in the sea there, airport sources said.
Sridevi, 54, died on February 24 in a Dubai hotel.
The body of Bollywood icon was flown back to Mumbai on February 27 after Dubai authorities had determined that she had "accidentally drowned" in her hotel bathtub.
The body of the actor, who was born in a village in Tamil Nadu and started her career in Tamil films, was cremated on February 28.
Her death sent shock waves across India with those who knew her at a loss to explain how the star could die so suddenly.