The three-time defending champions could not bowl out the Kenyans yesterday with the bowlers picking up just three wickets -- the other three falling to run-outs.
But Ponting said he was not all that worried and praised the Kenyans for withstanding the pressure while chasing a mammoth total of 325.
"We have done our job tonight. Obviously, we were a bit rusty. Our bowling was okay and probably some sort of intensity is required especially in the middle overs. Kenyans` performance was, I must say, they deserve some credit for the way they batted," Ponting told reporters.
"I would have liked to have taken more wickets in the game, no doubt about that. But I`m not that disappointed. It probably would have been an easier option for us today to turn up and win the toss and bowl, but we needed a good solid hit-out," he added.
While Kenya`s spinners picked up three wickets, The Australian spin attack of leg-spinner Steven Smith, off-break bowler Jason Krejza and left-armer Michael Clarke could not scalp even one on a turning Chinnaswamy Stadium pitch.
Asked if he was disappointed with that effort, Ponting said, "I tried a few different things tonight with the spinners particularly during the power plays to give them some experience there. Probably for the first time they have done that. Jason can do more in this type of conditions."
Ponting also heaped praise on Michael Hussey who scored 54 after returning from injury.
"Mike played the way that we know he can play. That his class and his experience showing through. It is his first game after having got back to the national team. He was out due to injury for six or seven weeks. It is a great sign for us throughout the tournament he got back to his form and fielded throughout the 50 overs," he said.
Ponting`s own form, however, remains a concern after he managed a rather slow 36 that came off 54 balls.
"I wish I had spent more time at the wicket. I was trying to get a couple of things towards the end but I will up and run as well in the tournament."
Another concern for Australia is all-rounder Cameron White`s form, who scored just two runs yesterday, and has been a bit off-colour in the tournament. but Ponting said he was not concerned about that.
"I am not concerned about his form. In the nets he has been hitting the ball very well during the last couple weeks.
He got a pretty good ball today. He has been around for a while and has had more consistent performance in the one-day format during the last couple of years. He will surely turn around pretty quickly for us," he said.
Asked whether he is thinking of changing the batting order in the next match against Canada, Ponting said, "I do not think so. I do not think we change our thinking for the next game.
"We always felt we are going to win this game before we started talking about what the line up could be. We have to put better thinking in the next couple of days."