depression & anger issues 🙎🏾‍♂️

Just a quick heads up this is going to be a long one!!
I've known my boyfriend for a few years and he has always had a short & bad temper but calmed down after we got together 5 months ago. He has depression and has learnt to deal with it on his own, unfortunately this means that he does not open up to anyone including me about his problems or anything that's bothering him because he's used to people never being there when he needed them and hates to talk about anything to do with feelings. 
He is like a switch; his moods are on and off and I never know whether he's going to be angry or completely fine! It's draining and I'm not really sure how to handle it sometimes. He does not want to seek help from a counsellor as he does not want to tell a stranger about his issues. I really want to help him to open up and confide in me but I'm not sure how to go about it. Do any of you have tips on how to help a partner with depression and anger issues?