In this paper, we have developed a mathematical technique for solving delay differential equations(DDES) which is based on the Taylor wavelets with the collocation method. And applying the convergence analysis, convergence and error analysis of the proposed technique of Taylor wavelets is worked out and it is shown to converge uniformly on it. We derive numerical solutions to DDES equations with various parameters using the Taylor wavelet technique (TWTS). And also the obtained TWTS based numerical solutions have been compared with the analytical solutions and existing methods of solutions. The error analysis in the obtained solutions shows the competence and consistency of the proposed method. It is predicted that the proposed method can be set up expansively and appropriate for the solution of a diverse classes of DDES arising in science and engineering.