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.
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.
"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 today, 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."