The Formula 1 ace had banned the lingerie model from going to Brazil with him so he could concentrate on snatching the title.
"I want to thank my family and Jessica. I love you, this is for you," The Sun quoted Button, 29, as saying.
A jubilant Button celebrated taking the Formula 1 crown yesterday y belting out an off-key version of Queen's hit "We are the Champions" as he crossed the finish line.
The British ace took both hands off the wheel, punched the air and screamed the lyrics: "We are the champions, my friends!"
He yelled into his helmet microphone, "We are world champions, world champions!" Then he burst into tears.
Formula 1 legend Sir Jackie Stewart led the tributes.
He said, "I couldn't be happier for Jenson. A big congratulations to him, he did everything he had to do today. It's 40 years since there's been a British champion back to back. I was that person. I took it over from Graham Hill, he's now taken it over from Lewis Hamilton. He must be really thrilled."