There were reports over the weekend that the couple were close to calling time on their romance, reported Hello! magazine.
"The whole story is completely false," said her representative.
It was also reported that the couple briefly broke up six months ago, and that their relationship remained rocky ever since.
Gosling, 32, and Mendes, 39, started dating in September 2011, shortly after working together on the crime drama "The Place Beyond The Pines".
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