The Canadian held sole possesion of the lead on Thursday when play was not completed because of darkness.
Hadwin is one stroke ahead of Japan's Takumi Kanaya (66) and Braden Thornberry, who was five under through 16 holes when darkness fell at Port Royal Golf Course.
Another shot back were Alex Smalley, Isaiah Salinda and Japan's Ryo Hisatsune at 67, as well as Frankie Capan III (four under through 16).
Fifteen golfers will have to finish their rounds on Friday.
Harrison Endycott, the lone Australian in the field, shot a one-under 70 to be tied 28th.
He entered the week at No 214 in the standings and has moved six spots.
Hadwin, 38, is trying to maintain his full status on the PGA Tour for the 12th consecutive season. Entering this week, he stood at a dismal No.147 in the FedEx Cup Fall standings, with only the top 100 at the end of the fall guaranteed to keep their cards.
A high finish in Bermuda would propel Hadwin easily inside the top 100. Of course, an outright victory would grant him a two-year exemption on tour.
"Yeah, it hasn't been a good year," Hadwin said. "I'm on the outside looking in.
"I'm looking at all the Canadians playing well and making Signature Events and all that.
"I've got to basically win or top two this week or next. But also, I've still got to hit golf shots, I've still got to get the ball in the hole."
Hadwin had seven birdies against just one bogey. He did so despite hitting only six of the 14 fairways in regulation.
Kanaya, whose only professional wins so far have come in his native Asia, made an eagle putt at the par-5 17th to boost his score. Kanaya entered the tournament No.120 in the points race.
Another eagle at that hole came from Norway's Kris Ventura, who is tied for eighth at three-under 68. Following consecutive bogeys at the previous two holes, Ventura holed out for eagle from the rough.
"Ended up going for the bump-and-run and caught the lip, went in," Ventura said. "Obviously a bonus. I would have been happy to walk off of there with a birdie."
Ventura entered the week at No.117 and his current position would only get him up to a projected 104th.
