By Alexander Mooney

(CNN) - Karl Rove is lashing out at President Obama and the Democratic National Committee over a new ad that alleges the former top Bush aide is “stealing our Democracy.”

"They are tossing out these baseless charges," Rove said Sunday during an appearance on Fox News.

The comments come the same day the DNC announced it is launching a national television ad targeting Rove and another former Bush aide, Ed Gillespie, over their involvement with an issue advocacy group called Crossroads GPS that by law - because it is established as a non-profit - does not have to reveal its donors.

The organization has spent millions airing anti-Democratic ads in key races and faces charges that they are bending campaign finance laws by structuring itself as a tax-exempt "social welfare" 501(c)(4) organization.

The ad also takes aim at the United States Chamber of Commerce, a pro-business lobby that heavily donates to Republican candidates across the country and which Obama and other Democrats have accused of using money from foreign donors -– a charge the chamber has denied.

“Karl Rove, Ed Gillespie: They're Bush Cronies. The U.S. Chamber of Commerce: They're Shills for Big Business,” the ad’s narrator says. “And they're stealing our democracy. Spending millions from secret donors to elect Republicans to do their bidding in Congress. It appears they're even taking secret foreign money to influence our elections.”

The president leveled a similar charge while on the campaign trail last week in Maryland, saying, “Just this week, we learned that one of the largest groups paying for these ads regularly takes in money from foreign corporations.”

The charges were first made by the liberal blog Think Progress, which reported last week that the Chamber has opened up offices abroad that fundraise for the group. But a spokesman for the group said any fundraising done abroad does not fund political activities.

"Have these people no shame?" Rove said of the attacks leveled at him and the Chamber. "Does the president of the United States have such little regard for the office he holds that he goes out there and makes these kind of baseless charges against his political enemies? This is just beyond the pale. How dare the president do this?"

“This is a desperate and I think disturbing trend by the President of the United States to tar his political adversaries with some kind of enemies list, without being unrestrained by any facts or evidence whatsoever."

Appearing on CBS’s Face the Nation, Gillespie also responded to the charges leveled against him and Rove in the new DNC ad.

“Karl Rove and I don't run American Crossroads. We're fully supportive of it. I've helped to raise money for it. I encouraged it to come together because I think we need something like that on the conservative side because there's so much money on the liberal side. You know, $400 million was spent in 2008 to help elect Barack Obama.”

Gillespie went on to address the allegations against the Chamber of Commerce.

"That was based on a blog posting that the President of the United States repeated that was put on a website that's affiliated with Center for American Progress, a liberal nonprofit advocacy group that does not disclose its donors."