The convergence-confinement method is one of the practical methods for designing the tunnel structure systems. The curve of longitudinal displacement profile for surrounding rock（LDP）is the key to the successful application of this method. On the basis of collecting and arranging the existing LDP curves， the advantages and disadvantages of the LDP curves are compared and analyzed. At the same time， the numerical simulation software is used to deeply analyze the influence of rock mass strength and deformation properties on the curve of surrounding rock profiles. The results show that for the same project， based on the existing LDP curve formula， the curves obtained by the corresponding data differ greatly. The cohesion and friction angle greatly influence the curve shape of the longitudinal displacement profile of the surrounding rock，while the elastic modulus and dilatancy angle have no effect on the LDP curve shape. Poisson′ss ratio has no effect on the LDP shape of the elastic medium.However，the larger plastic deformation zone results in greater effect of the Poisson's ratio. In order to obtain the LDP curve in practical engineering， it is suggested to adopt the numerical method and consider the discrete influence of cohesion， friction angle and Poisson's ratio. The research results can provide for obtaining the LDP curve in the initial support parameters design of the underground tunnel by using the convergence-confinement method.