Definition of pay one's compliments in US English:

pay one's compliments

phrase

  • Send or express formal greetings.

    • ‘A sizable crowd turned out in glorious weather conditions to pay their compliments to the small band of volunteers who had seen the six-year project bear fruit.’
    • ‘When the gun carriage itself comes past we will present arms to pay our compliments to the Queen Mother and other members of the Royal Family travelling behind the coffin.’