"We have to reset our energy policy starting with oil and gas offshore," Gingrich told about 120 executives of the state's electric cooperatives.
"We have natural gas deposits right off South Carolina. You could have an entire industry right now -- high-value jobs both on-shore providing and supporting the natural gas and offshore developing. You could look far enough offshore and have ground rules so it doesn't affect tourism," he added.
Gingrich, on the second day of a two-day campaign visit to the state, criticized President Obama for saying the United States wants to be a "major customer" for huge reserves of oil recently found off the coast of Brazil.
"You want the president not to be a purchasing agent going around the world telling other countries we want to buy from them. The president has to be a salesman going around the world telling other counties we want them to buy from us," Gingrich said.
Leaders of South Carolina's $18.4 billion tourism industry generally oppose oil drilling off the coast because of concerns spills could damage beaches.
Natural gas, brought to shore through underwater pipes, is considered less of a threat.
Geologists have said little has been found in searches for oil off the coast.
But the Southeast Energy Alliance, a nonprofit business and trade group, has said a new generation of seismic studies could result in higher estimates of what is available. The alliance estimates oil and natural gas could mean 2,250 jobs for South Carolina.
Asked later about the dangers of offshore drilling, Gingrich said there is always the mathematical chance of accidents.
"This is a fact of modern life," he said, adding the nation needs a disaster response system with equipment to handle spills.
"We had to borrow from the Japanese and from the Dutch and it took weeks because initially we wouldn't accept it," he said. "This should be part of an offshore drilling system to say we want to build the best recovery systems in the world."
Hamilton Davis, the director of energy and climate issues for the South Carolina Coastal Conservation League, says it's unclear whether there is anything to drill for off the coast.
"There's a lot of speculation about gas and what form it's found in," he said. "Everything that has been found, especially off the coast of South Carolina, has been in the form of gas hydrates which we don't have the technology to extract."
"We're opposed to offshore oil drilling and when it comes to natural gas, we'd certainly love to be sitting at a table having a comprehensive discussion about what our offshore resources are and how we responsibly use them," he said.
Just now, he said, it's too early for such a conversation.