The defending champion, who missed the premiere of 'Bhaag Milkha Bhaag', a film on the life of his father and legendary athlete Milkha Singh, was among the top 10 as the first round was yet to be completed. Jeev had eight birdies, but he also gave away three bogeys.
India's other challenger, SSP Chowrasia shot two-under 70.
"I'm happy with five-under. I was three-under after after four and then I went off the routine and gave away two bogeys. But then I got off well on back nine and had four birdies in a space of five holes. Then I had a chip in for birdie on last and it leaves a good taste as you finish," Jeev said.
"There were lot of birdie holes there. I tried to get to seven-under, it is that kind of course, but I am happy with five-under."
England's John Parry (64) continued his return to form by taking the clubhouse lead midway through the opening round as Phil Mickelson (66) also started strongly. Other good starts came from Simon Khan (65) and four others including Thai Kiradech Aphibarnrat shot 66 each.