They are very similar in meaning.
"Hunch" is an informal word. We usually use it for some specific situation. It refers to a kind of guess. A hunch is an idea comes to us suddenly, and with a strong feeling that it is right, even though we don't know why.
"Intuition" refers to a general characteristic. It refers to an almost mystical ability to understand truth directly, without needing evidence or proof.
"I have a hunch that the Cowboys are going to beat the Patriots in the next game."
"Really? The Patriots seem unbeatable, and all the experts favor the Patriots. Why do you think the Cowboys will win? What do you know?"
"I just have a hunch, that's all. Just a hunch."
"Well, maybe I'll put a little bet on the Cowboys, then. I've noticed you have good intuition about football."