The three students, Derrik Sweeney, 19, Gregory Porter, 19, and Luke Gates, 21, were arrested Monday for allegedly taking part in recent protests in Cairo, CNN reported.
Police say the students threw Molotov cocktails during protests last week.
Adel Saeed, the general prosecutor's spokesman, said police found a bag filled with empty bottles, gasoline, towels and a camera with the three Americans when they were arrested.
"They denied the bag belonged to them and said it belonged to two of their friends," Saeed said.
The students had been attending American University in Cairo on a semester-long study-abroad program.
Kevin Sweeney, Derrik Sweeney's father, said his son has no intentions of returning to study in Egypt.
"This semester is over for him, whether he's able to finish it remotely or writes it off," he said. "He really does not want to be in Egypt right now."
Derrik Sweeney was expected to fly out of Cairo Saturday morning and land in Missouri that night.
"He's extremely excited," Kevin Sweeney said.