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The aim of this paper is to derive the power law type nonlinear viscoelastic crack-tipfields.For the requirement of later derivation,the HRR singular fields and the high-order asymp-totic fields are first examined.That they are essentially the isotropic,incompressible,power lawtype nonlinear elastic crack-tip fields is illustrated.After a concise review of the elasticity recov-ery correspondence principle for solving the nonlinear viscoelastic problems,the correspondenceprinciple for solving the crack problems of power law type nonlinear viscoelastic materials underthe first type boundary condition is proposed.The solution of the crack-tip stress,strain fieldsfor the power law type nonlinear viscoelastic materials,especially for the modified polypropylene,is obtained.“,”The aim of this paper is to derive the power law type nonlinear viscoelastic crack-tip fields.For the requirement of later derivation,the HRR singular fields and the high-order asymp- totic fields are first examined.That they are essentially the isotropic,incompressible,power law type nonlinear elastic crack-tip fields is illustrated.After a concise review of the elasticity recov- ery correspondence principle for solving the nonlinear viscoelastic problems,the correspondence principle for solving the crack problems of power law type nonlinear viscoelastic materials under the first type boundary condition is proposed.The solution of the crack-tip stress,strain fields for the power law type nonlinear viscoelastic materials,especially for the modified polypropylene, is obtained.