The first thing you will need to do is make sure that you are wearing the right shoes. Always make sure you walk on designated paths. Bend your knees slightly when you walk, and also try to walk like a penguin. The main idea is that your center of gravity will be over your front legs. Spreading your feet out slightly, walking-flat footed, and taking small steps whilst leaning forward will help to keep you upright.
Always keep your hands extended so that you get support. You will also want to make sure that you walk slower and allow extra time to get to your destination. If you rush, you will probably slip and fall. Another way to ensure that you walk properly on ice is to stay warm and be cushioned from any potential falls.