This paper studied the Launch and control dynamics of Long Range Multiple Launch Rocket System (LRMLRS).We established a launch dynamics model and derived the launch and control dynamics equations for LRMLRS,which is a coupling multibody system including both rigid bodies and elastic bodies.By using the transfer matrix method of multibody system.We computed is vibration characteristics,we also presented the augmented eigenvector and its orthogonality conditions for LRMLRS.The dynamic response of LRMLRS was simulated,and the simulation results agreed well with the experimented datas.This study provided some basis to improve dispersion of fire and decrease rockets consumption in testing a LRMLRS.