Viscoelastic theory is one of the research contents of solid mechanics.The initial boundary value of the viscoelastic equation is one of the hot topics in recent years.The study of viscoelastic equations containing memory terms has become an important topic in differential equations.For the study of the initial boundary value of viscoelastic equations with memory term and time delay term, the previous researches discussed are linear resistance terms.Based on the research of this problem, the initial boundary value of the viscoelastic equation with memory term, time delay term and nonlinear damp term is proposed.Using the Galerkin method, by constructing an approximate solution, the prior solution of the approximate solution is estimated and the limit is taken.By using the enlargement and reduction of Cauchy-Schwarz inequality,Gronwall inequality and Young inequalies, the existence of the global weak solution is obtained.Then, the uniqueness of the global weak solution is obtained by putting forward hypotheses and verifying.