The invention belongs to the technical field of oil and gas exploitation, and particularly relates to a vibration prediction method of a completion pipe string of a high-temperature, high-pressure andhigh-gas-rate well. The vibration prediction method comprises the following steps: A, establishing a vertical and horizontal coupling dynamic model of the pipe string by using the horizontal right direction as an x axis and the well vertical depth direction as a y axis, and obtaining a pipe string total kinetic energy T calculation formula and a pipe string total potential energy U calculation formula; B, deducing the calculation formulae of the longitudinal vibration differential equation f(x,t) and the horizontal vibration differential equation p(x,t) of the pipe string; C, solving the longitudinal vibration differential equation and the horizontal vibration differential equation of the pipe string; and D, analyzing the longitudinal vibration displacement and the horizontal vibration displacement of the pipe string, the axial stress, the effective load and the bending moment of the pipe string according to the calculation results. The vibration prediction method provided by the invention can obtain the stress condition of pipe strings with arbitrary unit lengths in the completion pipe string, and theoretical support is provided for design, construction and maintenance of the completion pipe string of the high-temperature, high-pressure and high-gas-rate well.