Button was recently told to "try harder" by Dennis, but the team's racing director claims that he is happy with how the Brit and Kevin Magnussen have been performing in a season dominated by Mercedes.
"First of all, it is something of a non-story if I may say this," Boullier told reporters. "It has been debated, discussed and re-discussed and re-debated emotionally and passionately, whatever you want.
"What I'm going to say is Ron, traditionally and historically, is always pushing everybody, he is a great competitor; he loves to win and he wants to win.
"In terms of Jenson - and even Kevin - I am very happy with the performance of our drivers this year."
Button is currently eighth in the World Championship standings.