labor party vs Labour

labor party and Labour both are nouns.

Word	Noun	Adjective	Verb	Adverb
labor party	Yes	No	No	No
Labour	Yes	No	No	No

As nouns, Labour is a hyponym of labor party; that is, Labour is a word with a more specific, narrower meaning than labor party:

labor party: a left-of-center political party formed to represent the interest of ordinary working people
Labour: a political party formed in Great Britain in 1900; characterized by the promotion of labor's interests and formerly the socialization of key industries

Other hyponyms of labor party include Australian Labor Party, British Labour Party, Labor, Labour Party.

labor party (noun)	Labour (noun)
a left-of-center political party formed to represent the interest of ordinary working people	a political party formed in Great Britain in 1900; characterized by the promotion of labor's interests and formerly the socialization of key industries