Ken Duke and Craig Lile are knotted in third place at minus-7. Aaron Barber, Michael Putnam and former U.S. Amateur champion Jeff Quinney share fifth place at 6-under-par 66.
Molder began on the 10th hole Thursday and promptly chipped his third shot to 3 feet to set up birdie at the par-5 hole. Two holes later, at the next par-5, he pitched inside a foot for his second birdie.
At the par-3 15th, Molder hit an 8-iron to eight to set up birdie. The former Georgia Tech standout closed his opening nine with a 12-foot birdie putt at 17 and an 8-footer at the par-4 closing hole.
Molder kept the strong play going on his second nine. He collected his third birdie in a row with a 5-footer at the par-5 first, giving him birdies at all three par-5s.
Molder had one more 500-yarder to go and of course, he tapped in for his fourth birdie on a par-5.
His final birdie of the round came at the par-3 fifth. Molder drained a 20-footer to move to minus-8 and claim his share of the top spot on the leaderboard.
'Today was a once in a year round in that I didn't hit it spectacularly well, but I scored well,' said Molder, who only needed 21 putts on Thursday. 'I've been putting well, but nothing is going in. Today, they all went in.'
Parel also started on the second nine Thursday and sputtered out of the gate with a three-putt par at the 10th. He made up for it with a 20-foot birdie putt at the 11th and a two-putt birdie at No. 12. Parel added a third birdie in a four-hole span with a 12-footer at 14.
Much like his fellow co-leader, Parel played great late on the back nine. He ran home an 8-foot birdie putt at 17, then sank a 40-footer for birdie at the 18th to make the turn at 5-under 32.
Parel also played great golf after the turn with a two-putt birdie at one. He also birdied his fourth and final par-5, the third, and holed a 20-foot birdie putt at four.
He parred out to join Molder in the lead.
'I played very solid,' said Parel. 'I hit shots like I wanted today. I'm hoping this week I'll play well every day. I've played fairly consistent this year, but haven't had that really, really good week.'
Kevin Stadler, Will Moore, Scott Petersen, Chris Baryla, Hunter Haas and Jamie Broce are knotted in eighth place at 5-under-par 67.
Defending champion Garrett Willis struggled on Thursday. He posted a 2-over-par 74 and is part of a group tied for 126th place.