When a dog jumps on a human of its own free will, it is not "greeting" the human, it is asserting its dominance over the human; it is the dog communicating that it is alpha and/or wishes to own/control the human. A subordinate would never dream of running over and jumping on the alpha dog of the pack. Space is respect and lower members of the pack respect the higher members. If your dog jumps on humans, it does not respect them. Note: when a young puppy jumps on humans it is sometimes its attempt to reach one's face. Puppies need to be taught not to jump up on humans as this behavior will manifest into other meanings as the puppy grows up into an adult dog.
Remember, Jumping up can be dangerous as well as annoying. Just as many owners are sued for their jumping dogs as their biting dogs. Young children and elderly people can easily be toppled over and seriously injured by exuberant, friendly dogs. Start now to teach your puppy not to jump up. Even little dogs can cause problems and injury to themselves and others when they jump up.
A conflicting behavior when you come home—like “sit”—helps enormously. You’ll need to practice your puppy’s “sit” during calm moments first, and then ask for this polite behavior before you leave and when you arrive home. Guests will appreciate a polite “sit” when they arrive, too, as they won’t appreciate your puppy leaping around and mugging them for attention.
Understand the dog's behavior. In a dog's world, it is instinctual to greet another dog by coming nose-to-nose with them. This allows them to sniff each other's faces and become acquainted with the other dog's scent. Of course, your nose is a bit higher to reach so it is only natural that your dog will jump up to get closer to your face when greeting you. This can be quite annoying and unnecessary, but fortunately, the habit can be broken.
To a dog, space and balance are very important. If you take a step backwards or lean out of a jumping dog’s way, it will continue to jump. To a dog, it is overtaking your space, which only pack leaders are allowed to do. When a dog jumps, step into the dog. Picture a sphere around you and are not going to allow anyone or anything to come into your space. When the dog jumps, step into it sideways with your body, shoulder towards the dog. Don't face the dog head-on (you may not have time to turn so don’t worry about it if this is the case). You are not trying to knock the dog down, although this may happen. Don’t be alarmed if you do knock the dog over. Although you don’t want to abuse the dog by knocking it around, this may actually go a long way toward breaking it of the jumping habit as it will create a negative experience. Dogs are incredibly physical creatures and can withstand a lot of physicality without any harm. The odds of inflicting any serious injury are miniscule. You are simply calmly filling up your space with your body, and in return, setting the dog off-balance, which is an uncomfortable feeling for a dog. Lean slightly forward, not backward. Never lean backward, as you will be giving the dog that space. Casually and calmly, keep filling your space, not allowing room for the dog to come in. Remember, your goal is not to knock the dog down, it's just to retain your space.
In order to perfect the proper greeting routine, your dog needs much more practice than that. You can speed up the training process by leaving through the back door and returning through the front door over and over again. When your friends come over, have them do the same. Each time, ask your dog to sit-stay before opening the door. At first his excitement will make it difficult for him to concentrate but after you've repeated this process 10 times, he will calm down and be able to concentrate. Before asking your dog to sit-stay in this distracting and exciting situation, be sure he has a reliable sit-stay in normal, non-stressful situations. And of course you can always just hold the dog in a sit if need be.
A relatively new invention that will definitely solve this problem is the no jump harness. It works by restricting the movement of the dog’s hind legs so that it can’t jump at all. This should not be a permanent solution but rather something that can be effectively used during training. It should not only stop them from jumping chain link fences, but also from jumping on people and furniture.
I remember going to a dog park where a little 4-month-old Boxer puppy ran around jumping on everyone. The dog was not heavy enough to knock most of the adults down. However, it left everyone with muddy pants and the dog was big enough to knock over small children. The owner did nothing to stop the jumping puppy. After all, it was just a small pup. Everyone around her was pretty annoyed at the muddy prints the dog was leaving all over their clothes. That is an owner who will have a problem with her dog jumping on people when it gets older.