The duo was seven behind leader, Jbe Kruger of South Africa (64), who held a three-shot lead over second placed Japan's Daisuke Maruyama and Kenichi Kuboya, who carded 67 each.
Jeev, who is playing his first event of the year in Japan this year and will play two more to keep his membership, had three birdies and three bogeys in his card.
Randhawa, who was the first Indian to win in Japan in 2003, had a similar round.
Meanwhile the other four Indians had a tough time on the course today.
Anirban Lahiri, hoping to achieve a Panasonic double, carded a two-over 73 to be tied 63rd. He was one-under through front nine, but had three bogeys and no birdies on back nine.
Manav Jaini and SSP Chowrasia shot 74 each to be tied 84th, while Shiv Kapur and Sujjan Singh carded six-over 77 to be 124th and would now need exceptionally good second rounds to stay on for the weekend.