I don't know your exact situation, but IMHO, in a good relationship, both partners listen to the other and communicate. If your partner can't listen to you even when you are calm and non-judgmental, then there is a larger issue.
I mean, obviously, if you are angry when you try to talk to him or her then that is your issue. Get into a calm place before bringing stuff up.
But assuming you do that and he simply refuses to discuss real issues with you - it's a problem. You could try counseling but unless he wants to change the situation will not get better. So you have to figure out if it's worth it to put up with the dysfunctional behavior.