body odor vs body odour

body odor and body odour both are nouns.

Word	Noun	Adjective	Verb	Adverb
body odor	Yes	No	No	No
body odour	Yes	No	No	No

As nouns, body odor and body odour are synonyms defined as:

body odor and body odour: malodorousness resulting from a failure to bathe

Other synonyms of body odor include B.O..

body odor (noun)	body odour (noun)
malodorousness resulting from a failure to bathe	malodorousness resulting from a failure to bathe