Clips shown on Tuesday night's "Daily Show," however, put the younger brother -- Chris -- on the receiving end of the jokes, even during an interview about two escaped murderers.
"Surely you're saying to yourself, 'Jon, the elected chief executive of America's fourth most populous state is not going to take time during an interview about escaped murderers to give his brother shit,'" Stewart said. "Well, you clearly don't know older brothers."
Gov. Cuomo mentioned that he was looking for a reporter to do a piece on prison -- but he wanted one willing to stay locked up for a year, and told his brother's co-anchor that he was looking for suggestions.
As the camera cut to Chris Cuomo, Stewart commented: "That is a face that stopped being amused by this shit around age 6."
Check it out in the clip above.
Chris Cuomo got in the last word on Twitter, nailing the comic with a zinger of his own.
Cuomo and Stewart have traded a few barbs in recent years.