That left Johnson just one stroke behind leader Charley Hoffman and level with compatriots Roberto Castro, Scott Brown and Morgan Hoffmann who all took advantage of calm but humid conditions ideal for low scoring.
Four more Americans - Johnson Wagner, Justin Hicks, Scott Pinckney and Chez Reavie - opened with 66s in the final PGA Tour event before next week's Masters, the first of the year's four major championships.
Johnson, a nine-time winner on the PGA Tour, was delighted with his start after mixing an eagle and seven birdies with two bogeys.
"Overall, it was a great day," he told PGA TOUR Radio. "I made just two bogeys and one of them was a mud ball on (hole) five. I hit a good shot, just mud took it left and got a kind of a bad lie there left of the green and I didn't get up and down.
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"Then I had a penalty shot on the par-five 13th (his fourth hole of the day). Other than that, I felt like I played really solid today and holed some nice putts," said Johnson, who has recorded four top-10s in seven starts on the 2015-16 PGA Tour.
Masters and U.S. Open champion Jordan Spieth, the world number two, opened with a 67 while five-times major winner Phil Mickelson carded a 69.
(Reporting by Mark Lamport-Stokes in Los Angeles; Editing by Frank Pingue)
