To say hello, of course. Puppies are social creatures and happy and excited to greet just about anyone! Jumping, leaping and bouncing are ways your dog shows affection and receives attention. When a puppy is very young, we usually sit on the floor, let them wiggle into our laps and allow them to lick and nuzzle up close to our face. This is OK because we are down at their level.

Liz London is a certified dog trainer through the Certifying Council of Professional Dog Trainers (CPDT-KA) & the Karen Pryor Academy (Dog Trainer Foundations Certification) with regular continuing education courses from the top animal trainers from all over the world. She has trained zoo animals, search & rescue canines, gundogs, and helped people raise happy, healthy, and well-behaved canine companions for over ten years.
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.[1] This can be quite annoying and unnecessary, but fortunately, the habit can be broken.
3. Because they have been rewarded for this behavior in the past, whether purposely or unknowingly. Some owners may, at one point or another, allowed the dog to jump on them or on their furniture, welcoming their dog's enthusiasm to see them. Other owners inadvertently reward their dogs jumping, simply by doing something good--such as walking or feeding the dog--right after the dog has jumped. Even if they told off the dog for jumping, by providing the dog with a walk or with food, they make the dog connect these positive actions, with a not-so-positive action: jumping! The dog sees thing in a very simple, linear fashion: if he jumps, he'll get to go for a walk--or even better, he'll get fed!
If a dog is stressed or afraid, their demeanor and typical behaviors will change. If you see this in your dog (or really any dog you know) you should step back and check on your dog. Are they hurt? Did a new dog come around they don’t know? Has the weather changed? Is it hot outside? When was the last time they had a chance to go outside to pee or poop? 

When your dog has all four paws on the floor, give him attention and praise. If he jumps up at any point, freeze with your arms folded on your chest until he calms down. Instruct guests and all members of your household to consistently ignore jumping. If you have visitors who ignore the no-jumping rules, keep your dog on leash during the visit and gently remove him if he jumps. For anything your dog gets in life, whether it's your attention or a meal, only give the reward when all four paws are on the floor. Jumping up should end all attention and rewards, while remaining fixed on the ground garners all the pleasurable reinforcement a dog desires — treats, petting, play.
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.
Puppies should be told from day one, "no jumping." Anything you do not wish your cute little puppy to do when it is full-grown should not be allowed when it is a puppy. Think about the behaviors you allow your puppy to do; is it something you will always allow him to do even when he is full-grown? If the answer is no, do not allow your puppy to do it from day one.
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