The word health is a noun.
It is name of a condition or state. One can possess it: "He has (verb) good (adjective) health (noun)."
The word crime is a noun. It is the name of an act or action. "I saw a policeman (noun) yesterday. He was investigating a crime (noun)."
It is not always easy to identify a noun. The easiest way is to look up the words in a dictionary. The Cambridge Learner's Dictionary is very good, but most dictionaries will provide the information needed.