The Progressive Change Campaign Committee ads, which will run in Kentucky, Ohio and Washington, D.C., feature the lawmakers' faces and charge "Shutdown: McConnell Gets Paid. Military families go hungry."

PCCC has already targeted McConnell, who is up for reelection in 2014, with  television ads hitting him for his support for a proposal to reform the way social security benefits are calculated and would ultimately reduce benefit payments.

The new web ads come as the Senate voted down a House-passed government funding measure, inching the government closer to a shutdown, which will occur when the current government funding measure runs out on Monday, if the two chambers can't agree on a fix.