"Off the tee was good, my iron game was strong out there," said Lee.
"I left a couple of birdie chances out there, but still made a lot of good putts.
"I've been playing some good golf the last couple of months, and that time of the year I need to play good to get into the President's Cup. It means a lot to me."
Fellow Kiwis Tim Wilkinson and Steven Alker both shot a one-over 71 to sit in a tie for 97th.
On the European Tour, Ryan Fox is in a share of ninth at the Irish Open. Fox, who finished in sixth at the French Open last week, mixed eight birdies with a bogey and a double bogey to shoot a five-under 67, which puts him in the mix at a tournament featuring 27 of the world's top 100 players.