Law of nature and Natural law

Law of nature noun - A generalization that describes recurring facts or events in nature.

Natural law and law of nature are semantically related. In some cases you can use "Natural law" instead a noun phrase "Law of nature".

Natural law noun - A rule or body of rules of conduct inherent in human nature and essential to or binding upon human society.

Law of nature and natural law are semantically related. You can use "Law of nature" instead a noun phrase "Natural law".