Jean-Philippe Mateta, Marc Guéhi and Ismaïla Sarr struck the goals for Palace during the evening.
"It was a great night," he told Palace TV. "A great game and a great performance. So all the credit to the players and how they dealt with this situation, a sixth game within three weeks straight away at the beginning of the season.
"To then show such a performance makes me proud, so it's a really big credit to everyone.
"The game was how we expected, we were against a good team. I think they started well, then we got it under control, got a very nice penalty, with some good build-up play.
"Then, honestly, we had to survive for 15, 20 minutes after half-time. Villa made pressure, but this is when you play at Villa Park, there will always be 15 or 20 minutes where you have to suffer, and there we defended very well.
"We had Dean Henderson in two situations who helped us, and after the second goal, we got the confidence back, and we played fantastic. So really big credit to the players."
Glasner added, "I told the players before this game. That I think we had a good start to the season, achieving the first big goals, winning the Community Shield and qualifying for the group stage (of the Conference League)
"But to make it a great start we needed to win at Villa Park, and this is what the players did. So I think now we've had a great start, six games played unbeaten, good performances, and four clean sheets – we are on track."