Proper weight training will build muscle. Muscle is your metabolic furnace that will burn additional calories 24 hours a day. If you were to add, say, 10 pounds of muscle in the next year, your body might burn an additional 350 - 500 calories daily.
Although conventional wisdom has long stated that a pound of muscle will burn, on average, 30 to 50 calories per day, one recent piece of research says this is incorrect and that a pound of muscle burns about 6 calories a day...a lot less than what many of us thought, but still more than a pound of fat, which burns only 2 calories in a day.
From my personal experience though I can say that 6 calories seems off. When I gain 10lbs of muscle, an increase of 60 calories in my diet would not keep me gaining. I've found that my perfect mark to keep gaining but not get fat is 12-15 calories per pound of muscle.