How high can a bison jump?

They can jump close to 6 feet vertical, which much higher than cattle. This is the main reason why a bison producer has to have his or her bison handling facility fences at a height of 8 feet to handle bison.

Additional info:

A bison normally would respect a fence unless he is pressured in such a way that he and the rest of his herd need to find some way to escape, or if he's alone in a pasture and is desperate to get to his herd which is on the other side of the fence. A bison will even wreck a solid board fence in a bison handling facility if he can't see his herd-mates when being pushed through to the squeeze.