Mr. Martin entered the race about a year behind Mr. Jones. "In a short time, we've put together a campaign that has proven it can take on formidable opponents," Mr. Martin said.
At 9:30 p.m., with 80 percent of the precincts reporting, Mr. Martin had 59 percent to Mr. Jones' 41 percent, prompting Mr. Jones to concede.
"This has really been a blessing for me," Mr. Jones said. "We had a good ride, and we worked hard. I accept God's will."
Mr. Martin even won in Mr. Jones' home county. His spokesman Ellery Gould credited hard work.
"I think not only were we communicating louder, but we also did a very good job of pinpointing people and speaking directly to them on a number of different ways," Mr. Gould said.
Mr. Martin now goes against Republican Sen. Saxby Chambliss and Libertarian Allen Buckley.
It will be Mr. Martin's second time as the Democrats' nominee in a statewide race. Two years ago he lost to Republican Casey Cagle for lieutenant governor.
Jim Martin 59%
Vernon Jones 41%
- (80 percent of precincts reporting)
He will face Republican Sen. Saxby Chambliss and Libertarian Allen Buckley in November.