Smoking the Brisket: Preheat Smoker Grill to 170 degrees F. Cooking at a low temperature will make the wood smoke more. Place the brisket (in roasting pan) in the pre-heated smoker and close the smoker lid. Smoke the brisket for 1 hour for every pound of meat or smoke overnight.risket is the meat of choice for barbecuing in the great state of Texas. In fact, it is considered the National Dish of Texas.. Brisket are a very tough piece of meat and difficult to eat unless it is cooked at a very low and slow temperature.