Youssef's program is modeled after Jon Stewart's "The Daily Show," where he has appeared as a guest.
Unlike other local TV presenters, Youssef uses satire to mock fiery comments made by ultraconservative clerics and politicians, garnering him a legion of fans among the country's revolutionaries and liberals.
Among his most popular clips are the ones where he pokes fun at the president's speeches and decisions.
While holding a red, furry pillow with Morsi's picture on it, Youssef satirizes Morsi's style of speech.
"He tells us things we never knew," he says, before wordy clips of Morsi going into detail about the day of the week and other basic facts.
"It's October 6! Tell us when it's Christmas!" Youssef shouts to the camera as the audience erupts in laughter and applause.
Youssef, 38, is one of Egypt's most popular TV presenters with 1.4 million fans on Facebook and nearly 850,000 followers on Twitter, just shy of the president's number of followers.
Also Tuesday, police said they arrested a suspect in a shooting that seriously wounded a protester in Cairo's central Tahrir Square, where an open-ended sit-in protesting the Morsi regime is taking place.
According to witnesses, before dawn on Monday, gunmen shot and wounded 19-year-old Muhanad Samir, who has said he was jailed and tortured under Egypt's former ruling military council after he witnessed the killing of another activist. Lawyers say the attacked appeared to target Samir, who is battling for his life with pellets embedded in his head.
Security officials dismiss allegations Samir was the victim of a political assassination. On Tuesday, they said they arrested the owner of a cafe in downtown Cairo who told police that he fired on the square after people manning makeshift checkpoints there searched his car and shot at him. The officials spoke anonymously in line with regulations.