Pence, saying that he represents the tolerance of Hoosiers, praised Martin Luther King Jr. and talked about how proud he was to walk with Rep. John Lewis across the Edmund Pettus Bridge in Selma on the 45th anniversary of Bloody Sunday. "This issue of discrimination has been an anthem through my life," he said.
Indiana state legislators said this week they'll seek to "clarify" that the law doesn't allow discrimination. Pence said additional legislation now being worked through by state lawmakers will correct the "perception problem" surrounding the law.
"It would be helpful to move legislation this week to clarify that this doesn't give businesses the right to deny services to anyone," Pence said, including gays and lesbians.
(RELATED: Indiana Law Tests Republican's 2016 Strategy for Social Issues)
The specific language of the changes, Pence said, is still being worked out.
When asked if his state should introduce legislation that would specifically protect people from discrimination due to sexual orientation, Pence said he's never supported that idea, and he feels it's a completely separate issue from the debate over the new law.
Pence made connections between his state's law and religious freedom laws at the federal level and in 30 other jurisdictions across the country. Though Pence treated the laws as equals, there are key differences between Indiana's law and some of the others. For one,, the Indiana law places for-profit businesses on par with individuals and other organizations as having a right to express their religious convictions. For another, the statute can be used as protection against a lawsuit brought by a private citizen, not just one brought by the government.
"I thought it was an appropriate addition to Indiana's statutes," Pence said, describing how the bill moved through the legislative process with little controversy until last week.
(RELATED: Rubio Defends Indiana's "Religious Freedom" Law)
Pence blamed the public outcry on misinterpretation of the law and "sloppy reporting" by the national media, especially in the controversy's early days.
Which isn't to say that his state media was particularly friendly: On Tuesday, The Indianapolis Star ran a front-page editorial calling on Pence and the legislature to "Fix This Now."
The governor published an op-ed Tuesday in The Wall Street Journal describing how the intent of the legislation was make sure religious freedom is respected in Indiana and to "apply the highest level of scrutiny to any state or local governmental action that infringes on people's religious liberty."
Echoing comments he made Tuesday morning on Fox & Friends, Pence said at the press conference that he doesn't regret signing the bill.
"I was pleased to have signed it, and I stand by the law," Pence said.