A second-half goal from Jan Vertonghen was enough to beat a Swansea side who came to White Hart Lane looking to keep things tight at the back.
But there was a major flashpoint towards the end of the game when Swansea forward Michu was floored following an aerial challenge with Spurs goalkeeper Hugo Lloris.
Referee Mike Dean allowed play to continue with Michu lying prone inside the Spurs area as Andros Townsend almost scored a second for the hosts, with both benches arguing on the touchline.
Laudrup conceded that the challenge was a fair one but was initially worried about the way Michu had fallen to the ground.
"Fortunately he is okay," he said. "When I saw it I thought `Oh hell, he is unconscious, you can't fake a reaction like that' - it isn't like when someone kicks you, this is completely different."
Laudrup was angry with the decision from Dean and his officials not to call a halt to proceedings to allow Michu to receive immediate medical attention and believes they should have communicated among themselves to come to the right decision.
He said: "I was very angry and it wasn't because I wasn't a free-kick or a red card for Lloris or a penalty or whatever but we always talk about people, there is a debate, should we kick the ball out.
"It is the same debate in every country - we have a referee and two linesmen so we just go on until the referee blows the whistle.
"But with possible head injuries, like this one, there is no doubt, you have all the linesmen and the referee and they are connected.
"I watched it afterward on the television and when it happened, when Michu is going down to the ground the referee is watching them, the linesman is watching them and still they let the game go on, it is such a poor decision and dangerous as well."