He some think I cheating on him but I'm not and I told good things about him like he cute but he said why you do bad things to me but I stop doing it and he think I'm going to break with him or go with a other guys and he don't trust me or believe me.

What you can do is let him go though your phone Don't DELETE YOUR MESSAGES ! Let him have something to look through . Let him go though YOUR contacts in your phone and if he wants let him delete the ones he doesn't want you talking to. Give each other your Facebook passwords . Not because you don't trust each other but for you to have more trust , it will work if you do this , promise! Hope I helped (:

First let me say that I don't entirely understand your post the way it is written.
Have you done something that makes him not trust you or is he just someone who doesn't easily trust people?

And bad idea to hand over your phone and give people your passwords those should be kept private.

Never feel you have to prove to your bf/gf that you're not cheating. That's ridiculous. If he doesn't trust you, that is his problem and it is borderline controlling you. Sharing passwords and your texts is no way to have to live. If he can't simply trust you then you need to tell him you can't deal with him being like that and he needs to go away.

Because he said he give me stuff and he said that why you love me and I said that not true but he don't believe it and he said sometimes he saw it in my eyes you don't love me but that not true.

Then stop wasting your time with him. Tell him if he thinks that, then there's no reason for you two to be together.

There is no reason you should have to convince him or prove you love him... that's his issue to deal with. His problem. You're probably better off getting rid of him now because it's likely to get worse as time goes on.

How old are you two anyway?

He sounds like a mess and so does your relationship with him.

why you do bad things to me but I stop doing it

Exactly what did you stop doing that was so bad he thinks you don't love him, cheat, and want to break up. I mean was it THAT bad? What was it?

I think you should just 4 gt about him men like to make you feel like itz your fault in its not... Being single isn't so bad my boyfriend left me 2months ago I'm GOOD!! HIS LOST

If there is no trust there is no relationship, the feelings of jealousy and lose of trust can signify a few things, most common being that he cheats on you and feels that you might do the same, or also that he just has low self esteem and confidence and truly believe you are going to leave him at all moments. Leave him, let him fix his problems on his own, this break up will help him notice that him acting that way will never allow him to be happy in a relationship. Speaking from personal experience, it took me a few break ups to realize this.