It was the Dutchman's first in a Reds shirt.
"It was an unbelievable day and first of all I have to say it was a great team performance from the lads," Kuyt told Liverpoolfc.tv.
"I just want to thank my teammates, especially Luis Suarez, who was brilliant. The first goal was unbelievable and Luis showed a bit of magic like he did at West Ham last week when he set up Glen Johnson's goal.
"I wanted to let the ball go but I wasn't sure if it was going in so I just wanted to make sure, but it was more his goal than mine.
"For the second goal I was just there in the right position and then the third goal was a special moment. Any hat-trick you can score for your club is special but to score in front of the Kop and celebrate with our fans was brilliant.
"It's my first hat-trick since I played for Feyenoord back in 2005, but I used to score a few of them when I played in Holland."
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He added: "We all wished the manager a happy 60th birthday and today was his present. I don't think you could ask for more.
"We all signed a shirt for him on Friday and it was good to all be together. It's good to see things are a lot more positive.
"It was great when our fans were singing happy birthday to Kenny and the atmosphere right from the kick-off was brilliant. They were right behind us and it's great to have these supporters because they are a big help to us."