The club were found guilty of two of the seven charges they faced over the registration of Argentinian midfielder Alejandro Faurlin but will not be docked points.
An FA statement read: "The Regulatory Commission hearing charges brought by The FA against Queens Park Rangers FC wish to announce that although two of the charges have been found to be proved there will be no points deduction made from Queens Park Rangers FC in this season or the next."
Manager Neil Warnock paid tribute to his team for managing to concentrate on playing rather than be distracted by the off-field affairs.
He told BBC1's Football Focus: "How they have managed to focus with all the rubbish some of the tabloids report, people speaking out when they shouldn't have done, didn't know their facts.they coped well.
"We haven't said anything, we just kept our counsel and did it on the pitch. I can't praise them high enough although it's not really sunk in at the moment, it's just a great feeling. It's just a relief to know we are the champions. We have been the champions. But when you can't answer back it's horrible."