Continuity: When Robert Redford gets the girl to drive the pick-up, in one shot something lies in the gun rack. In the next shot there is nothing behind their heads in the truck's cab.
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Mistakes
When Grace watches the video of her and Pilgrim (the speaker in the video states that it is Pilgrim), the horse has a large blaze and not a star, like in the rest of the movie. See more...
The Horse Whisperer mistakes
Continuity: When Grace watches the video of her and Pilgrim (the speaker in the video states that it is Pilgrim), the horse has a large blaze and not a star, like in the rest of the movie.
Factual error: When Grace is learning how to drive she's in a car with automatic. She puts it in D and then we see her foot press down the gas pedal. Her foot is not on the brake so the car should already be moving, but it isn't. A moment later the car is once again completely still even though it's in D and her foot isn't on the brake.