narrator vs speaker

narrator and speaker both are nouns.

Word	Noun	Adjective	Verb	Adverb
narrator	Yes	No	No	No
speaker	Yes	No	No	No

As nouns, speaker is a hypernym of narrator; that is, speaker is a word with a broader meaning than narrator:

narrator: someone who tells a story
speaker: someone who expresses in language; someone who talks (especially someone who delivers a public speech or someone especially garrulous)

Other hypernyms of narrator include talker, utterer, verbaliser, verbalizer.

narrator (noun)	speaker (noun)
someone who tells a story	electro-acoustic transducer that converts electrical signals into sounds loud enough to be heard at a distance
	someone who expresses in language; someone who talks (especially someone who delivers a public speech or someone especially garrulous)