KSK beat defending champions CSK by seven wickets on Tuesday and marked their second victory in the Indian Premiere League tournament.
"I think we are heading in the right direction, I mean beating Mumbai and Chennai is two huge win for us and we have got a lot of positives out of these two games but its like I said early in the tournament, we have to be consistent over a period of time and we work hard in areas which we have to improve and do that," said Jayawardene.
Chasing a target of 135, reset as per the Duckworth/Lewis method, KTK were in a better position as Brendon McCullum and skipper Jayawardene kept up the required pace initially.
Stephen Fleming of CSK blamed the rainy conditions for loosing the game.
"We were in a good position to launch a game, we played well at top order, we were close to 70 for 2 after nine overs, and it''s a good position when they are heading to come. To have those overs reduced and be in a situation where we are ahead of only two-three overs, it was disappointing and we did not did well enough.
"Raina's (Suresh Raina) run out was a sound of pressure because we needed to get more runs and the more desperate we became the better they bowled and field, so it was a tough five overs from where we can't back out," said Fleming.
This was the second defeat for Mahendra Singh Dhoni''s led CSK in four matches of the IPL.