Greig Laidlaw kicked the last-gasp penalty which secured a memorable 9-6 win over Australia in Newcastle - Scotland's first over the Wallabies on their own turf in 30 years.
After Scotland's first win of the year, which broke a sequence of seven consecutive defeats, Robinson said: "I am just delighted for the players and the management who have worked so hard.
"Also for the Scottish supporters, because it has been tough for them when the games have been so close and the team has been playing well, getting into good positions to win matches but not achieving that.
"I understand the disappointment, but for this group of players and management, there is a real belief and you saw the team spirit.
"Today our plans in tough conditions worked well but we are going to have to keep improving and keep working hard.
"I know from the Scottish boys that they are going to do that and that is why they are a delight to coach."
"This team has worked really hard. In the Six Nations it was unlucky in a couple of games and today it has gone the other way for us.
"We have got that bit of luck through the hard work that they put in and got a fantastic victory. Back-to-back victories against Australia, for a Scottish team is immense."
Captain Ross Ford had no hesitation in handing the ball to match-winner Laidlaw and said: "He has done that all season for us, pressure games, pressure kicks - he nudges them over. I have total confidence in him.
"Our tackles and breakdown work was good and we held them out.
"We had to stay disciplined and not give away penalties needlessly. We had to trust in the defence and keep it going.
"It showed in the end that we did manage to break out of our half and into a position where we could attack."
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