Brendan Rodgers celebrated Celtic's victory in the Europa League against RB Leipzig as the best they had enjoyed at home in his two-year tenure as a coach.
Leipzig is in fourth place in the German Bundesliga, but was beaten 2-1 by the Scottish champions.
"It was a fantastic win and I'm very proud of it," Rodgers said.
"I think that tonight was a real win against a high-class side that plays high in their home league, everyone knows Leipzig quality."
With RB Salzburg's leading Group B six points from Leipzig and Celtic after a 5-2 draw with Rosenborg in Norway, it is likely that the Germans and Scots will fight for second place.
Since Celtic could not score in Germany with the 2-0 victory of Leipzig, the team of Ralf Rangnick remains the second position due to their neck-and-neck record.
But Rodgers said, "The most important thing was to win and win well, and I think we did."
When asked if it was his best and most satisfying victory in Europe as a Celtic manager, he agreed that "the level of the opponent" and the quality of the performance were taken into account.
"The players were absolutely brilliant," he said. "And then the supporters were absolutely great.
"It's always a very emotional game here in Celtic Park, but this synergy between the two brought us the result and it was a fantastic three points for us."
"This was a big step forward"
Rodgers had warned his players before the kick-off that "if something went against them, sometimes the game is gone".
Kieran Tierney put Celtic in the lead early on, and although Jean-Kevin Augustin equalized after 12 minutes, Odsonne Edouard restored the lead within 14 seconds.
"Tonight was a big step forward for these players, because with a 1-1 draw when Leipzig did not deserve to stay the same in the match, they responded immediately and had faith in playing forward and this fantastic winner achieve, "Rodgers said.
"It was a pressure game we had to win, but you see the positive attitude of the team.
"We were not afraid, had much aggression and brought our identity into play."
Rodgers said it has continued to make the most recent improvements to its performance and is particularly pleased with how they counteracted Leipzig's style of play.
"They played a system that can be hard to beat against this midfield diamond," he added.
"The players knew that they had to work defensively hard, they were aggressive, they fought for every ball and then showed their quality when they had them."