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.
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.