Captain Stephen Moore said he was proud of his Wallabies' team-mates as they recovered to overcome South Africa 24-20 in Brisbane on Saturday.
A late try from outside centre Tevita Kuridrani with time up on the clock meant Australia got their Rugby Championship campaign off to a victorious start.
This was hooker Moore's first game since being made skipper of the team going into the Rugby World Cup and he couldn't hide his delight at the final whistle.
"I'm very proud," he told Sky Sports.
"We knew it would be tough and we said the last fifteen was going to be crucial and I'm really proud of how the boys dug in.
"I thought South Africa's defence was terrific. It was really hard to find space and their work at the breakdown was strong. That's an area we're going to have to brush up on."
Australia will now travel to Argentina for their Round Two fixture before returning to home soil to face New Zealand in the third and final round. But for now Moore was pleased to enjoy the victory over the Springboks, who were leading by 20 points to 7 early in the second period before the Wallabies launched their fightback.
"It was hard yards up front as it always is against South Africa. I thought we fought our way back into the game and got some good penalties at the end and the guys who came on did a wonderful job," he added.