com·pli·ment • n. / ˈkämpləmənt/ a polite expression of praise or admiration: she paid me an enormous compliment.. ∎ an act or circumstance that implies praise or respect: it's a compliment to the bride to dress up on her special day. ∎ (compliments) congratulations or praise expressed to someone: my compliments on your cooking. ∎ (compliments) greetings or regards, esp. when sent as a message.• v. / ˈkämpləˌment/ [tr.] politely congratulate or praise (someone) for something. ∎ praise (something) politely. ∎ (compliment someone with) archaic present someone with (something) as a mark of courtesy.PHRASES: pay one's compliments send or express formal greetings.return the compliment give a compliment in return for another.with someone's compliments (or the compliments of) used to express the fact that what one is giving is free: all drinks will be supplied with our compliments.