The 34-year-old is keen to be selected for Team GB at the 2016 event which will be held in Rio de Janeiro, Brazil, reported Sun online.
"I've brought two more show jumpers and I'm going to start competing. I'm just concentrating on my horses now. They mean the world to me - I'd love to do the Olympics. I'm ambitious and love what I do," Price said.
The keen horse rider, who is engaged to Argentine model Leandro Penna, has three children from previous relationships.
Price has previously made an appearance at the prestigious Horse of the Year show and she was also successful when she competed in dressage at Hickstead, West Sussex, South England.