Please tell me which is the correct sentence?
I AM LOOKING FORWARD TO MEET YOU I AM LOOKING FORWARD TO MEETING YOU.
.and why please?
No, that's incorrect. The answer is given earlier in this thread.
navy pandaI'm looking forward to meet you on Thursday
I'm looking forward to meeting you on Thursday.
I am looking forward to meet you
You look forward to a noun or a gerund, which is like a noun.
So the correct form is I look forward to meeting you.