Fat is an important part of your diet. Too much is bad for you, but too little is also very unhealthy. You need fat in your diet to build new cells, act as a long term energy store, and also to act as insulation. The American Heart Organisation recommend that to maintain a healthy weight, 25% of your calorie intake should be fat.
That means, to remain at the weight you are right now, 25% of your calories should come from fat. Some people misinterpret this to mean that 25% of their food should be fat, which would result in them eating too much fat. In fact, the 25% of calories represents about 55g of fat (2oz).
To lose fat from your body, you might reduce the 25% to 15% of calories coming from fat, which, based on a 2000 calorie / day diet would mean about 30g of fat.
Saturated Fat is often thought of as being bad fat, but again, you do need some in your diet. Most recommendations such as that from the AHA suggest that no more than 5% of your calories should come from saturated fats. That means about 11g of saturated fat each day.