There are two kinds of valve gears for a three-cylinder locomotive ; one of them is that each cylinder has an independent valve gear and the other is that the middle valve is driven by the combined action of the two outer valve gears. The former is the same with that of the ordinary two-cylinder locomotive, so in this paper the writer treats the latter only. In this paper the method of calculation for the latter kind of valve gear is discussed for all cases, that is i. When three cylinder lie in one same plane and the cranks be at 120° difference. ii. When the middle cylinder inclines and the cranks be at 120° difference. iii. When the middle cylinder inclines and the crank angles be correspondingly changed. Furthermore the method of calculation is given when the clearances of the p n joints due to wear are taken into consideration.