1. Do not let your dog make a big deal out of your arrival home. In fact, as the alpha leader of your family's "pack", you shouldn't even greet him or her for at least 15 minutes. If your dog jumps around and pesters you before that, squirt him with water pistol or shake a can filled with pebbles. This will startle him, and if done on a regular basis, calm him whenever you get home. He won't make such a big deal of your arrival, and thus learn that he can greet you without jumping. Follow the same technique for any visitors to your home. Do not introduce the dog to your visitors until after 15 minutes or longer.
Make sure other family members and visitors understand this command, as well. It is crucial that your dog understand that all family and visitors are above his rank in the pack. Otherwise, he will lash out and try to assert himself on everyone. While using the Off command may not be appreciated by most visitors, but it is more important that a dog has a good greeting manner with all people. A little effort on everyone's side makes your dog disciplined and docile.
Why do dogs jump up? A plausible explanation arises from their ways of communicating with each other. A puppy greeting an adult dog often licks the adult’s muzzle -- a polite, deferential behavior. Dogs, of course, descend from wolves, among whom muzzle-licking is how pups get the grownups to regurgitate food for them. Domestic dogs rarely nourish puppies this way, but muzzle-licking has survived, maybe because deferential behaviors are handy for a social animal. Think of humans saying “No, after you.” Muzzle-licking is also an appeasement behavior -- something you trot out to de-escalate a fight. A human might lift up his hands, palms toward the person he’s arguing with.