honour vs esteem

honour and esteem both are nouns.

Word	Noun	Adjective	Verb	Adverb
honour	Yes	No	Yes	No
esteem	Yes	No	Yes	No

As nouns, esteem is a hyponym of honour; that is, esteem is a word with a more specific, narrower meaning than honour:

honour: the state of being honored
esteem: the condition of being honored (esteemed or respected or well regarded)

Other hyponyms of honour include glorification, glory, celebrity, fame, renown, regard, respect, reputation, repute.

honour (noun)	esteem (noun)
the quality of being honorable and having a good name	an attitude of admiration or esteem
a woman's virtue or chastity	a feeling of delighted approval and liking
a tangible symbol signifying approval or distinction	the condition of being honored (esteemed or respected or well regarded)
the state of being honored