Senior midfielder Ben Nason scored two goals and Ghanaian star Patrick Nyarko added the third to lead the Hokies past Maryland, which had a 10-game unbeaten streak of its own snapped with the loss.
Virginia Tech, which had never won a game in the ACC Tournament, limited Maryland to two shots on goal.
"It's a great thing any time you win a game in the ACC Tournament with a shutout against a ranked opponent," Hokie coach Oliver Weiss said. "The 4-vs.-5 match is traditionally a very tough match, so we're very pleased. I think if you look at our entire season, it may rank up there with one of our best performances."
Graham Zusi had a chance to tie the game for Maryland, but his free kick hit the near post late in the first half.
"This was a difficult loss for us," Maryland coach Sasho Cirovski said. "We worked very hard but not very smart. We expended a lot of energy on the attack and defense and we were worn down. Their first goal was a nice free kick by Nason and it is tough to comeback because Virginia Tech is a very poised team. We were unlucky as well. With another inch Graham Zusi would have scored on the free kick."