Swansea boss Laudrup delighted with Davies deal
The defender has penned terms to 2017.
Laudrup was full of praise for how the Wales international has taken his chance.
"It is a positive story for Ben, for Swansea and Wales," said Laudrup. "It is always good to see local players come through.
"He came in when Neil Taylor got a serious injury. He got a chance and the rest is history.
"He is doing well, his attitude towards the game is great and he is still young.
"He has already done a lot but every day in training he wants to improve. He doesn't think he has arrived and that is the right attitude.
"I am sure one day - although it may not be good news for Swansea - we will see Ben at one of the top five or six clubs in the Premier League."