You have a significant pest infestation, possibly aphids. They (and other insects) secrete a sticky substance called honeydew, which is what's covering the leaves and dripping on the floor.
First step, identify the pest by examining top and undersides of the leaves. If aphids, those visible white specks are shedded exoskeletons; the live aphids will be on newer growth, buds, and on the undersides of the leaves. Could also be mealy bugs (fuzzy white clumps). If you're unsure, post again here with closeup photos.
Sometimes a good blast from the hose will remove aphids, sometimes they will leave on their own, sometimes they'll persist and attract ants and sooty mold and you'll be best served using insecticidal soap. But again, first figure out what you've got.