Video of the incident shows protesters confront McConnell as he left a restaurant with outgoing state representative Jonathan Shell.
After the protest, the Louisville Democratic Socialists of America tweeted out the video with the caption: "Powerful people like Mitch deserve no peace while they enable the imprisonment of babies in concentration camps".
McConnell and his crew drove off, leaving the protesters standing there looking foolish. "We know where you live!".
Democratic Congresswoman from California Maxine Waters has been criticized by Republicans and establishment Democrats for calling for the public harassment of Trump administration officials. "We know where you live", the protester yelled.
The Department of Transportation Secretary and the Senate Majority Leader were approached by students as they made their way to their vehicle outside the Copley Formal Lounge on the university campus in Washington, DC.
McConnell - who supports the Trump administration's detention of families who illegally cross the border, but opposed the president's short-lived policy of separating parents from their children - was having lunch Saturday at Bristol Bar & Grille, in his hometown.
This isn't the first time that protesters have confronted McConnell over his support for the Trump administration's immigration policy - which since May has included criminally prosecuting all migrants crossing the US border without documentation, thus separating families. During the incident, his wife, Transportation Secretary Elaine Chao, stepped in, telling them, "Why don't you leave my husband alone?" Chao got right in the face of the protesters, pointing her finger and saying, "Leave my husband alone!" Since then, the Trump administration has swapped its policy of family separation for indefinite family detention. The protesters played audio published by ProPublica from a detention center where young children who had been separated from their families could be heard crying.