In a cat's world, nothing is off limits: the inside of boxes, underneath a bed, on top of your keyboard. It's all fair game to a cat that wants to play, rest, hide, or is just plain curious.
That cat privilege extends—in their mind—to perches on the top of your counters, the upper reaches of a bookshelf, and even the top of the refrigerator. After all, cat jumping skills are top-notch. Cats can easily exceed altitudes six times their height. A study in the Journal of Experimental Biology reports that cats are superior jumpers because of the limb length and muscle mass of their back legs. Cats start a jump in a very deep crouch, then lift their front legs before "an explosive extension" of their back legs.
While there is no argument that a cat's jumping ability is impressive, it can also be annoying (and dangerous, as Vetstreet notes cats don't always land on their feet) to have cats regularly leaping to spots in your home that are high above their heads.
How can pet parents keep cats off furniture, shelves, counters, and anywhere else in the home where they don't belong?
Clean off Shelves
Cats are naturally curious. A pen, a set of keys, or a fragile knick-knack can catch their attention and tempt them to jump up to explore this "toy" that has been left for them to find. By keeping shelves clear of clutter, you can also lessen your cat's interest in exploring places you don't want them to go. This can also be beneficial to you as cats are known for knocking things off shelves, and unfortunately they aren't good at handling a broom and dustpan to clean up the mess after themselves.

Keep Food off Kitchen Counters
A cat's sense of smell is much better than yours, so if they smell something tasty, they are likely to jump up to try to sneak a nibble. That can be dangerous for them, depending on what the food is. By keeping counters clear of food and crumbs, you'll discourage your kitty from leaping onto your kitchen counters. If you find that your cat is intensely curious about what you're making for dinner—and won't stay off the counters while you're preparing it—simply shut your cat in another room until the kitchen is clean.
Shut the Blinds
Cats like to jump to window sills to take in the outdoor view. If there's a windowsill that you don't want your cat to use, simply shut the blinds to take away the kitty TV. But make sure you give your cat at least one spot to look outside, as cats enjoy watching the world go by.