But they are keeping their feet on the ground, knowing that the All Blacks are next up.
Wing Cheslin Kolbe said while it was pleasing to get the result, especially after giving all squad members the chance to play across the two games, they are excited about building on those results.
He told South African media, "It was special, but there's a lot more to come.
"We couldn't have asked for a better start in the competition, especially winning two games away from home, but we have to progress as the competition goes on."
The All Blacks will face them in Johannesburg on Saturday week and in Cape Town the following Saturday. They haven't met since the Springboks beat the All Blacks 12-11 in last year's Rugby World Cup final in Paris.
"We'll keep our feet on the ground and continue working hard in the weeks leading up to the games against New Zealand, which is going to be massive.
"As a team, we are looking forward to giving back in South Africa at the packed stadiums.
"Coach Rassie [Erasmus] said after the game that we haven't achieved this in years and are in a good position. But we won't just leave it at that and be complacent because we know the next two games are going to be tough.
"Tests between the All Blacks and Springboks are always tough matches."
Erasmus said, "We saw New Zealand losing to Argentina and now they gave them a proper hiding. They knuckled down and put on proper points against Argentina.
"We will play them at altitude and then in Cape Town, where they will be more comfortable. A lot of them enjoy it there. It will be a mini series. We are in for a tough three weeks."