The rolling angle of the ship in waves has a great meaning for the safety of the ship at sea. As this angle can be theoretically calculated if the so-called "damping coefficient" for roll is known, we made many rolling experiments with a ship model, changing its bilge keels and bar keel variously to find their effects on the damping coefficient. Analyzing the data, we have established a formula predicts, for various conditions of a ship, the damping coefficient and therefore the rolling angle in waves in the preliminary stage of design.