The design, optimization and control methods of a transverse flux Linear Switched Reluctance Motor (LSRM) for the rail transit application are introduced. Two structures of LSRMs, EI type and EE type, are compared and analyzed. The structure of EE type machine is optimized from the perspective of average electromagnetic thrust per unit mass through finite element calculations. The initial sizes of the motor are calculated according to the design theory of the rotary SRM. After obtaining the initial sizes, the sensitivities of the LSRM sizes are analyzed by the three-dimensional finite element calculation, and then the sizes such as the slot depth, the slot width and the tooth width of the motor are optimized. The hardware test platform is built, the electromagnetic characteristics of the prototype are tested, and the motor characteristics of the LSRM with different secondary materials are compared. The control method of the LSRM with position sensors is proposed, and then the sensorless control of the motor is also realized based on the pulse injection strategy. The experimental results verify the effectiveness of the design and control strategies.