Raj Bhavsar is a Gujarati.[2] He is the son of Jyotindra and Surekha Bhavsar.[citation needed] His father is from Vadodara, Gujarat, and his mother was born in Kampala, Uganda but educated in Gujarat.[2] He was born in Houston.[3] He was raised in Greater Houston and attended Bear Creek Elementary, Wolfe Elementary, Mayde Creek Junior High, and Mayde Creek High School. During this time he trained at Cypress Academy of Gymnastics under his coach Bill Foster.
At the 2004 Olympic Trials, he was in contention for the U.S. Olympic Team. He was named as an alternate. In 2004 he was first in the rings in the trials, and fourth overall in the national championships, yet was passed over. In 2008 he was third in the Olympic trials and the Visa Championships and again wound up an alternate to the 6-man team. This was because his strongest events overlapped with those of Paul Hamm and Morgan Hamm, and the team needed gymnasts who were stronger in other disciplines. After Paul Hamm was injured, Bhavsar was selected for the team and earned a bronze medal.