Time magazine has described Rasmussen Reports as a "conservative-leaning polling group."
But private polling groups said the far right had taken support from all the mainstream parties.
Claudia Santoro, a spokeswoman for Ibope, the other major polling group, said the director would not speak until all results were tallied.
In some instances, problems with exit polls have encouraged polling groups to pool data in hopes of increased accuracy.
Mrs. Clinton's campaign said yesterday that she was not the client and had no connection to the polling group.
"This is a real surge to the right," Claude Longchamp, director of a major political polling group, said on Swiss television.
"In the past, it was women who decided the election," said Carlos Huneeus, a political analyst and director of a leading polling group here.
The results were contrasted with surveys of the public conducted by other polling groups, such as the Gallup Organization.
The finding was almost exactly the opposite found by the same polling group only six months ago.
For that reason, reputable polling groups try to make their selections as neutral as possible.