Goals from Filip Kiss and Richard Brittain won the day for County with Kris Boyd bagging a late consolation for Killie.
"We were outstanding today, it was a very good performance from start to finish," said Adams, whose side were winning for the first time in six matches.
"I thought we played well and Kiss's goal was excellent. We were strong, passed the ball well and looked good on the counter-attack.
"I didn't see Kilmarnock scoring, unless Kris Boyd got a wee opportunity, as he showed late on."
However, Adams admitted his side are still in a fight to avoid the play-off
spot - with two points separating five teams in the bottom half.
He said: "It's obviously tense, there are five teams in a battle to see if they can finish seventh.
"That's what the situation is at this moment in time. It's great for the public, I think it is a good way to end the season. It's high pressure, there is pressure at the top and there is pressure at the bottom.
"We've got St Mirren next and we've got to take this performance on to that game. We have to try and get to seventh, that's our main goal. We'll do what we can to get there."
Kilmarnock manager Allan Johnston added: "There's no point dwelling on it. We need to learn from the mistakes we've made in the last few weeks and make sure we come out on top in the next three games.
"We were in control for the majority of the game. They picked us off on the counter-attack.
"The only complaint for us was probably end product - there wasn't enough quality crosses coming in. That final pass, shots to test the goalie.
"We've had a few opportunities this season to get ourselves free of this play-off spot, but we've lost the big games so far.
"We've got to make sure in the final three games coming up that we come out as winners. The league is that tight, everybody is in the mix."