The Oxford dictionary defines natural law as an observable law relating to natural phenomena.
The Law of Vibration states that everything in the universe is in a constant state of movement. We refer to these movements as vibration, and the speed or rate at which something vibrates is called its frequency.
The Law of Attraction focuses on using your thoughts and feelings to dictate what you attract into your life. Attraction is a force acting mutually between particles of matter, tending to draw them together and resisting their separation.
The Law Of Attraction vs. The Law Of Vibration – Proctor Gallagher Institute