Always being the one to apologize?

I've been in a relationship with my girlfriend for two years. We have amazing chemistry and have many similar interests. Things are generally good between the both of us when it comes to these areas.

However, whenever we have an argument or something goes wrong, it always turns out that I'm the first (and most of the times, the only one) to apologize for what went on. It's my nature to see my fault in a situation and man-up and take the first step to apologize, but in this relationship, it feels as if that she's never wrong about things seeing as how she has never apologized for her actions in our previous major arguments.

Is this healthy? It's come to the point where I'm already sick of being the one always apologizing for things. Normally, I forgive others without hearing their apologies, but this whole situation just reached a different light after I spent some time thinking about it.

Any insight would be appreciated. My circle of friends are pretty biased and generally rule in my favor, so I'd like something unbiased and true for once.
Always being the one to apologize?
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