The ways of deformation prediction of tunnel are divided into the method of the static analysis and the method of dynamic analysis on the basis of reviewing the researching methods existed. The static analysis is made up of Peck theory system; the analytic solution respectively considering of elasticity

plasticity and viscoelasticity

the theory transplantation method and expert system. The method of dynamic analysis include kinds of numerical analysis

model method

timeseries method and neural network intelligent prediction method. Peck Theory system representing with Peck formula

is continuously improved and perfected subsequently. Theory transplantation consists of the stochastic analysis method and fuzzy mathematics model

the regression analysis method and so on. This paper discusses advantages and defects of every method; and simultaneously the tendency of studying are presented.