Is it normal to not trust my bf??

You find someone else. If you don't know how to trust then that sounds like a sucky relationship. I dk how else to say it.

NO trust, NO relationship!
if it's because of your own insecurity, then I suggest you seek more professional help or advice.

It is normal not to trust your BF but only if you have a 'reason' not to trust him.

My last ex gf did not trust me when i did nothing to make her not trust me!

IF he is talking to other girls in bad ways, cheating, kissing another girl, texting someone behind or spending time with another girl all the time over you - then these are valid reasons for you to lose trust in someone you love.

If you don't trust him and have no reason to because of your insecurity then you must work on your security. Speak to your boyfriend, you must trust him though otherwise he will think your up to something. If you have reason for not trusting him because of his attitude/behaviour then tell him what he does is making you feel uncomfortable.

there is nothing abnormal in having little or no trust in someone until they have earned theirs, but no trust even after 2 years, you need better communication skill to be able to gain more trust, so that if he tries to lie/cheat/hide things, you can know how trustworthy he really is.

U shuold still trust him coming from some 1 who has a gf and she trusted me