Edward Snowden has been holed up in Sheremetyevo airport outside Moscow since June 23, when he flew in from Hong Kong after leaking information about US surveillance programmes. He is currently awaiting a response to his request for temporary asylum in Russia.
The United States is pressing Russia to hand over the former National Security Agency (NSA) contractor, who Washington wants to put on trial.
In the interview dubbed into Russian, Lon Snowden said he hoped his son would return home one day.
But he said that events over the past few weeks suggested that there were no guarantees of a fair trial in the United States, and that he therefore agreed with his son's decision to remain in Russia.