In a method for weighing a number of items, such as letters to be franked, on a transport belt that moves over a weighing plate, the base of which is formed by the transport belt, the transport speed of the belt is slowed within a measurement time range, that starts from the beginning of a weighing event on the weighing plate until a stable weight measurement occurs, and is accelerated outside of this measurement time range, after the occurrence of a stable weight value for a current item on the weighing plate, the next-following item is transported onto the weighing plate by the belt, and the weight of the next-following item is determined by the weight increase due to inflow of the next-following item and the weight decrease due to outflow of the current item.