Hudson was outstanding in Cardiff's promotion campaign last season.
"Mark has been an integral part of my team here for the last two years," said Mackay.
"He's a great leader for us and is someone who is going to be a big part of everything that is going to be happening for us in the Premier league.
"I think when you sign good professionals as we have done over the last two years then there are aspects of them that just comes naturally. People like Mark have the desire to do the very best they can in any given situation."