Abstract: The control of vortex vibration of submarine pipeline is very important in the design of submarine pipeline. The authors consider that the deep-water environment is different from shallows environment, if the control method of vortex vibration of pipeline for shallows is used in that of deep-water, the result will be too conservative. In the deep-water environment, the surface velocity of seabed is generally slow and free from waving, and therefore, the consideration of control of vortex vibration for pipeline in the deep-water environment should be fatigue failure, and the fatigue life of pipeline is taken as a basic control condition for the vortex vibration of spanning pipeline in the deep water. This paper establishes nonlinear differential equations, gives the fatigue equations and compares the critical spanning of pipeline of calculated results from the shallows and deep water.