James added a career-high 16 assists and eight rebounds while Wade chipped in with eight boards and seven assists as Miami remained without a loss since Feb. 1.
The Heat emerged victorious in the marathon despite playing in their fifth game over seven days.
The Kings, who dropped their sixth straight, were led by Marcus Thornton with 38 points.
Jessica Simpson shares three-way kiss with friends in photo
Senate Democrats to pull all-nighter on climate change