CNN's Dana Bash and a CNN camera crew tried to get Bunning to comment more extensively on the controversy on Monday. But the senator "got very angry," she said.
"Excuse me," the agitated senator told Bash while entering a Senate elevator. "I need to get to the (Senate) floor."
Moments earlier, and ABC News reporter and crew also attempted to question Bunning as he was getting on the Senate elevator.
A posting on the ABC News website details the exchange: "Excuse me! This is a Senator's only elevator!" Bunning responded as he was asked a question by ABC's Jonathan Karl.
"Excuse me!" Bunning yelled. "I've got to go to the floor!"
ABC News producer Z. Bryon Wolf spotted Bunning as he exited his office. When Wolf asked Bunning to stay and talk to cameras, Wolf says Bunning walked away and shot his middle finger over his head.
CNN reached out to Bunning’s office for comment. A spokesman for the senator said "I don't have any comment," when asked about the obscene gesture.
On the floor of the Senate, top Democrats tore into the Republican from Kentucky for blocking the unemployment benefits extension. The Senate adjourned last week without approving extensions of cash and health insurance benefits for the unemployed after Bunning blocked the measure by insisting that Congress first pay for the $10 billion package.
Bunning, who is retiring at the end of this year, said he doesn't oppose extending the programs - he just doesn't want to add to the deficit. Democrats claim the bill is an emergency measure that should not be subject to new rules requiring that legislation not expand the deficit.
As a result of the Senate's inaction, many jobless people starting Monday were no longer able to apply for federal unemployment benefits or the COBRA health insurance subsidy.
After refusing to talk to ABC and CNN, Bunning took to the Senate floor to bemoan what he characterized as a growing lack of fiscal responsibility.
"If we can't find $10 billion to pay for something that we all support, we will never pay for anything on the floor of the U.S. Senate," he said.
Bunning's remarks prompted an immediate response from Senate Majority Leader Harry Reid, D-Nevada.
"Where was my friend from Kentucky when we had two wars that were unpaid for during the Bush administration?" he asked. Reid also mentioned the Bush administration tax cuts, which Democrats have said are unpaid for.
"We don't need lectures here on debt" from the GOP, he said. "There are poor people all over America who are desperate today."
Since the controversy over the $10 billion package started late last week, this appears to be Bunning's second outburst. According to two Democratic aides on the Senate floor Thursday night, Bunning muttered "tough s-" as Sen. Jeff Merkley, D-Oregon, criticized Bunning's stance on the package.