The engagement ceremony took place at Varun's residence.
For the ceremony, Trisha sported a specially customised sari by Neeta Lulla and jewellery by NAC jewellers, while Varun wore a simple white dhoti.
The couple's wedding date is yet to be finalised.
Trisha and Varun have been dating for a few months since the former's rumoured breakup with Telugu actor Rana Daggubati.
Trisha is currently awaiting the release of Tamil actioner "Yennai Arindhaal".