I love my husband, but we argue constantly.?

I got married in October 2010 to the love of my life, but rather than enjoying the "honeymoon phase" we constantly bicker and argue with each other. It makes me worry because I love him with all of my heart, and I cannot see me living a happy life without him, but I cannot take the arguing anymore (He feels the same way I do about not being able to see his life without me in it). All of the arguing is making me worry about the strain it could put on our relationship. We always apologize for our behavior, but I'm worried that at some point, apologizing will not be enough. Is it normal between married couples to argue constantly, even during the "honeymoon phase"? I just want to feel a little more at ease