The 26-year-old Scot did not attend the awards ceremony. He is training in Florida recovering from a back injury which knocked him off the tour at the end of the year.
Murray received the award from 18-time major champion Martina Navratilova.
“Thanks to Martina Navratilova for giving this to me,” Murray said, Reuters reported. “She’s possibly the greatest tennis player of all time.
“I’ve got a few people to thank – my family first. A lot are there in the crowd. They’ve supported me since I was a kid, making a lot of sacrifices for me. I couldn’t have done it without you.”
“No matter how excited I try to sound my voice still sounds incredibly boring. But I’m actually incredibly excited right now. That’s just my voice. I’m sorry.”