Yes, a healthy cat can jump over a fence as high as 6 to 8 feet! What’s more, average house cats can jump up to five feet or more. As a result, your fence should be 9 to 12 feet high to keep your cat inside the yard. It’s also best to avoid using climbable chain link fencing or wood fencing. Fencing with hard plastic at the top may be a better option, which is difficult for cats to climb.