damage vs harm

damage and harm both are nouns.

Word	Noun	Adjective	Verb	Adverb
damage	Yes	No	Yes	No
harm	Yes	No	Yes	No

As nouns, damage and harm are synonyms defined as:

Other synonyms of damage include hurt, scathe.

As nouns, damage and harm are synonyms defined as:

Other synonyms of damage include impairment.

damage (noun)	harm (noun)
the act of damaging something or someone	the act of damaging something or someone
any harm or injury resulting from a violation of a legal right	the occurrence of a change for the worse
the occurrence of a change for the worse	any physical damage to the body caused by violence or accident or fracture etc.; the condition of an injury
loss of military equipment
the amount of money needed to purchase something

damage (verb)	harm (verb)
inflict damage upon	cause or do harm to
suffer or be susceptible to damage