I have been going out with her for almost 2 years. At first , we got great time together, but then the more we chat the more we fell that our thought don't match with each other.
Despite of that, I still have strong feeling for her. Should I ask her to change some of her behavior that I don't think OK?

No, she should not have to change, why don't you change to like her? Get the idea you don't change who you are, you learn to accept each other or move on.

No you should not ask her to change. Never go around trying to change people. Change yourself, change your out look and either learn to accept the differences or move on.

You can't change another person and they can't make lasting changes for another person. You can decide if you need to make changes and you can talk to her about the differences between you. By communicating you might find a compromise or you both may agree that the relationship isn't working.

Would you like to talk about her behaviors that you find 'not okay'? Sometimes talking things out can give you a different perspective on an issue.

Never ask someone to change their personality. If she isn't what you like then let her go and find someone that you feel is a good match for you. No one has the right to control or change anyone. Being different and having our own unique personality is our God given right.

What is it about her personality that you don't like exactly?

Does she belch in public? Is she inconsiderate and demanding? Is she negative and controlling? Does she not want to learn how to cook? Maybe she doesn't care about dirty socks on the floor?

Just what is it about her that you don't like?