The engagement function was held at her residence in Banashankeri area here today.
"I am getting aged and I thought it is right time to settle in life," Pooja, who is also JDS leader, said after exchanging the engagement ring.
Gowda has also financed few Kannada films.
The marriage will take place sometime next year.
Pooja has acted in nearly 40 films. The actress' latest film 'Dandupalya' was a hit.