主要有以下几种说法：
我很高兴认识你：Nice to meet you.
我很高兴认识你：I am pleased to meet you.
我很高兴认识了你：I'm happy to know you.
和这个相关表达：
I've been wanting to meet you for some time. 很久以来我一直想见你。
I'm delighted to make your acquaintance. 认识你我觉得非常高兴。
It's a privilege to know you. 认识您是我的荣幸。