Biden appeared for 90 minutes in Philadelphia and answered questions from audience members, including one of his former speechwriters, and ABC News host George Stephanopoulos, the ex-aide to Democratic President Bill Clinton.
None of the people who queried Biden brought up the Hunter Biden, 50, material.
Joe Biden, 77, was appearing for the first time since the New York Post published emails and court documents from a computer that also contained nearly 25,000 photographs, many of private moments in the life of his son.
The person who dropped it off never returned and didn't respond when the owner attempted to contact him.
Joe Biden's campaign challenged some aspects of the reporting from the data, including an alleged meeting in 2015 between Joe Biden and Vadym Pozharskyi, an adviser to the board of Burisma, the Ukrainian gas company that hired Hunter Biden a year prior.
"We have reviewed Joe Biden’s official schedules from the time and no meeting, as alleged by the New York Post, ever took place," the campaign said.
Joe Biden did hold meetings outside his official schedule while in office.
At the end of Thursday's town hall, Stephanopoulos thanked the audience for their "really terrific questions," adding that they "did a service to our democracy tonight."
"Journalism is dead," he said.