- 1.   
赞美(话);恭维(话)  -  
• make (或pay) a compliment to sb. on sth. 为某事赞美(或恭维)某人 -  
• Compliments turned his head. 恭维话使他洋洋自得。 - 2.   
敬意  -  
• They did her the compliment of visiting her. 他们拜访她以示敬意。 - 3.   
[~s] 问候;祝贺  -  
• exchange compliments 互相问候,互相祝贺 -  
• I wish you the compliments of the season. 我向您表示节日的祝贺。 
用法说明
 compliment, complement
这两个词只有一个字母之差,但差别很大。compliment用作可数名词时意思为“恭维话”、“赞美词”;用作复数时则意思为“问候”、“致意”。而complement则是指对某事物的补充。
试比较:
Thank you for your compliment.谢谢你的夸奖。
Give my compliments to your parents.代我向你的父母问候。
Lively conversation is a complement to a party.愉快的交谈会使社交聚会更加圆满。