During the engagement ceremony, Anant's mother Nita Ambani gave a surprise performance.
In June, Mukesh Ambani and his wife hosted the arangetram ceremony of Radhika Merchant at the Jio World Centre in Mumbai.
Arangetram marks the end of a dancer's training in the Bharatnatyam classical dance and the debut on-stage performance.
Anant Ambani, the youngest of the Reliance chairman's three children, will lead the company's new energy business.
Reliance is vying to be at the forefront of Prime Minister Narendra Modi's ambition to ramp up green energy capacity