Hey Zega... a New Years Resolution is a custom where people use the start of a new year, as a time to try and make a fresh start in some aspect of their life.
For some people, it might be to stop smoking, or lose weight, or exercise more. For others it might be to save a certain amount of money, or find true love; it could be anything, really.
Traditionally people are expect to break these resolutions, as well, which is kind of funny, but it's good to try, and good to think about the things you want to change in your life.