district vs govern

district is a noun but govern is not a noun.

Word	Noun	Adjective	Verb	Adverb
district	Yes	No	Yes	No
govern	No	No	Yes	No

As verbs, govern is a hypernym of district; that is, govern is a word with a broader meaning than district:

district: regulate housing in; of certain areas of towns
govern: bring into conformity with rules or principles or usage; impose regulations

Other hypernyms of district include order, regularise, regularize, regulate.

district (noun)	govern (noun)
a region marked off for administrative or other purposes

district (verb)	govern (verb)
regulate housing in; of certain areas of towns	exercise authority over; as of nations
	direct or strongly influence the behavior of
	bring into conformity with rules or principles or usage; impose regulations
	require to be in a certain grammatical case, voice, or mood