Two goals in the opening 15 minutes put the Reds into a comfortable lead at Villa Park, with Craig Bellamy scoring the first, and setting up the second as his corner was headed in by Martin Skrtel.
Villa were without the services of Darren Bent and Gabriel Agbonlahor, and their lack of firepower upfront certainly told, as Liverpool dominated proceedings with Luis Suarez a constant threat in attack.
"We passed the ball and moved it and hit the bar twice," Dalglish told Sky Sports. "I think it was a well-deserved three points for us.
"I think the first goal was a little bit fortunate but the second one was a good flick-on from Martin.
"We get pleasure taking three points and that's the greatest reward you can get from the work you do in training."
The victory is Liverpool's third win in their last four away games, and moves Dalglish's side up to sixth in the Barclays Premier League table.
And the manager, whose side also boast the top-flight's best defensive record having conceding just 13 goals, paid tribute to another tight display at the back.
"We'll go forward as a team and defend as a team," he continued. "If we don't have the ball the first person is the first defender.
"There is no point having one part of the team good and another rubbish. We do everything together and we'll move forward together."