Make sure you have a focal point for your photograph. This should be the first thing that the viewer's eye is drawn to. Whether it's a flower, a person, or a bird, every shot you take should have a specific focal point. Don't only think about what the focal point is, but figure out the best spot for it in the shot.
Make use of the instant feedback you get from a digital camera. The screen on your digital camera can show you the basics of how your photo came out the instant you snap the shot. Learn from your mistakes and take another shot, there's no need to wait for your prints anymore.
When composing your picture, pay attention to the weather. If it is overcast outside, try to keep the sky out of your picture as much as possible. Black and white pictures are also a good choice if you want to shoot outside on an overcast day. If the weather is nice and sunny, you will get a lot of great pictures, just make sure your subject isn't squinting at the sun.
Composition is often the area of photography that people struggle with. So I have broken down how I go about composing an image into 7 simple areas.