Manchin said he would encourage other members of West Virginia's congressional delegation to join No Labels. He said he does not expect House and Senate leaders to join but believes they will be inclined to listen to the group's members.
Huntsman said before No Labels, there was never an "organizational backstop" to support lawmakers who chose to go against traditional party lines to compromise with their political opponents.
No Labels gives elected officials reinforcement to "do the right thing," he said.
Huntsman said dysfunction in Congress has made the rest of the nation dysfunctional. Investors are not investing and businesses are not hiring, mostly because they have little faith their elected officials will do anything to fix the economy.
"We're beginning to jeopardize our own future," he said. "I'm absolutely embarrassed by what we have today. The next generation deserves better."
He said the problem is not ideology because lawmakers always have brought their own values and beliefs to Washington.
"The problem is a lack of focus, a lack of culture in Congress that leads to problem solving," he said. "Problem solving must be seen as good politics."
Manchin will spend the rest of this week touring West Virginia.
On Tuesday afternoon, he met with local business and community leaders at Kanawha County's W. Kent Carper Justice and Public Safety Complex to discuss "fixing our nation's fiscal house," according to a press release.
On Wednesday, Manchin will visit Robert C. Byrd High School in Clarksburg to tour the school and talk with teachers, first responders and others about school safety.
Manchin will conclude his tour Friday at Marsh Fork Elementary in Raleigh County, where he will meet with students and teachers before heading to Concord University in Athens, where he'll speak with college administrators, faculty, students and veterans.