The Swede, a contender to make the Solheim Cup team, holed birdie putts of 40 and 50 feet along with three 25-footers to take a two shot lead at Highland Meadows Golf Club.
"It felt like every putt I hit all day had a chance to go in," said Lindberg. "Even the pars I made out there, they were still good birdie chances."
Angela Stanford of the US was two shots back with Japan's Mika Miyazato, South Korea's Chella Choi, Meredith Duncan, Numa Gulyanamitta of Thailand and France's Karine Icher.
Paula Creamer, winner of the event in 2008, and Toledo-born Stacy Lewis both had 68s.
Defending champion Na Yeon Choi shot a 71, while world number one Yani Tseng had a 72.