"If we want to have a better world, we cannot hope for an Obama and we should not fear a Donald Trump. Rather we should build it ourselves," Snowden said late Thursday, addressing an audience in the Netherlands in a live video chat from Russia.
While he said Trump's victory in Tuesday's US presidential elections was "a dark moment" in American history, he insisted the bigger question was "how do we defend the rights of everyone, everywhere, without regard to borders?"
Snowden leaked thousands of classified documents in 2013 revealing the vast US surveillance of private data put in place after the September 11, 2001 attacks.
After fleeing from his home in Hawaii, he currently lives as a fugitive in Russia where he has been given shelter.
Snowden appeared Thursday via an encrypted live video stream at a cinema in Amsterdam ahead of the Dutch premiere of director Oliver Stone's new movie about his life.
"I try not to look at this as a question of a single election or a single president or even a single government, because we see these threats coming across borders," Snowden said.