Every marriage has it's ups and downs but if you apply a few basic principals you will find that your marriage will have more ups than downs.
Communication is key to any marriage. Learn to talk and even fight clearly.
Men and women tend to hear things differently so before getting mad at your partner repeat to them what you "heard" them say. Often you will find that what you heard is not what they felt they were saying.
When arguing avoid hitting below the belt. While it may be an easy way to win the dispute it is also an easy to create hurt feeling that are not soon forgotten.
Be clear what you are angry about and keep your voice on a normal level. Yelling only causes your partner to yell back until nobody is being heard. If you maintain a calm manner you can often find a solution without hurt feelings.
Of course when you are angry make sure you are only discussing that subject. Do not drag in the fact that he forgot to put the toilet seat down two weeks ago or that she forgot to buy milk last month.
When you are done discuss ways to avoid this argument coming up again and always remember that you love this person.