The Northern Irishman, who won the event at Loch Lomond in 2008, enjoyed a bogey-free round at Castle Stuart which included an eagle at the 12th.
McDowell was joined on 11-under-par at the halfway stage by Scottish pair Scott Jamieson and Peter Whiteford.
Another Scot, Paul Lawrie, and Angel Cabrera of Argentina also had 64's.
European Tour rookie Jamieson has recorded four top six finishes already this year, including a share of third at the BMW International in Munich after graduating from the Challenge Tour.
The 27-year-old from Glasgow began his second round from the 10th hole and took a bogey five there, but then posted five birdies in succession before making eagles at the 18th and the second to reach 13 under.
However, he came up short of the green on the 218-yard eighth, left his chip on the fringe and three-putted.
"That was disappointing, but it's exciting to be in this position in Scotland and to get my first win here would be fantastic," he said.
McDowell was lying in joint 30th following his opening 69, but the 2010 US Open champion was delighted with his second round.
"I hit the ball really well and the golf course played beautifully," he said.
"It was a beautiful morning and you couldn't ask for more perfect scoring conditions."
Scottish Open shots of day one
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