Ballast weight is something that is added to a race car to alter its performance.
In most racing series, cars have a minimum weight. Often, the actual weight of the car is lower, so ballast is used to bring it up to the minimum. The advantage is that the ballast can be positioned to affect the car's handling by changing its load distribution. This is near-universal in Formula 1.
In some racing series, for example the British Touring Car Championship, ballast is used as a handicap, the leading drivers at the end of one race being given more ballast for the next race.