Govindraj began his career with Hyderabad in the Ranji Trophy in 1964-65, opening the bowling and batting in the tail. In 1966-67 his 59 batting at number nine helped State Bank of India win the Moin-ud-Dowlah Gold Cup Tournamentfor the first time. He attended a training camp that was held to help select the Indian team to tour Australia and New Zealand in 1967-68, but Umesh Kulkarni and Ramakant Desai were selected ahead of him. In domestic cricket in India in 1967-68 he took 23 wickets at 26.95, without taking more than three wickets in an innings. He again helped State Bank of India win the Moin-ud-Dowlah Gold Cup Tournament, making his career top score of 72 at number eight after State Bank of India had been 123 for 6 in the first innings of the final. He played for an Indian XI against the touring International XI in February 1968, taking the wickets of Khalid Ibadulla and Ken Suttle. He began the 1968-69 season with a short tour of Ceylon with State Bank of India. In the match against Ceylon Board President's Under-27s XI he took the best innings figures and match figures of his career in an innings victory. Two months later he took his best figures in the Ranji Trophy with 5 for 21 and 5 for 75 in an innings victory for Hyderabad over Andhra.
Playing for India
After taking 24 wickets in the 1970-71 Indian season at an average of 29.00, including 5 for 114 for South Zone against East Zone in the Duleep Trophy, Govindraj was selected for the tours of the West Indies and England. Although he was the only fast bowler in the team he did not play any of the Tests, the selectors preferring to open with the medium-paced all-rounders Eknath Solkar and Syed Abid Ali and rely on three specialist spinners to take most of the wickets. He played five first-class matches in the West Indies and bowled only 91.5 overs, taking 10 wickets at 37.60. In England he played 16 matches, but took only 11 wickets at 61.27. He played for an Indian XI against Rest of India in a match in aid of the Defence Fund in 1971-72, but took no wickets. He played on for a few more seasons before dropping out of first-class cricket at the age of 27.
After cricket
He worked for the State Bank of India during his cricket career. Later he drove buses in London, and more recently he has been a cricket coach.
