The Swans followed up their stunning Capital One Cup semi-final first-leg win over Chelsea - which in turn came after holding Arsenal in the FA Cup - by frustrating the Toffees in a goalless clash at Goodison Park.
It extended their unbeaten run in all competitions to seven matches and put them in good heart for their replay against the Gunners on Wednesday.
Laudrup said: "It has been a little bit more than a good week - it has been a great week.
"Three very difficult games, different games, and I think three great performances.
"To come here and play Everton in such a difficult away game, after playing in midweek against Chelsea, and to get a point is a great result.
"Once more, it was a great performance, although maybe getting the points in a different way that we are used to.
"For two games now, Wednesday and here, we didn't have the ball as much as we are used to and still we performed so well.
"To come out of here with two clean sheets says a lot about the team and the team spirit we have."