I shot mine with a 7mm08. My brother shot his with a 44 mag pistol. My dad shot his with a 358 winchester. All worked fine once you put the bullet in the right spot. The rancher recommended anything over 270. He claims to have killed them with a 17 remington if you put one in the ear. Take whatever rifle you can shoot the most accurate with in all field shooting positions and you should be fine. Are you hunting a herd or an individual. In a herd situation a head shot is the only shot to take. If you do not drop your animal right away the rest of the herd may turn it into buffalo burger for you.Once the herd smells blood their instinct is to kill the wounded and move on. They do not want to be around anything that would attract predators.If you are hunting an individual body shots would be an option. If that is the case take a big thumper to do as much damage as possible. One of the main reasons to "hunt" bison is the meat. The quicker the kill the better.