In this paper, a computational method is presented for solving singularly perturbed
delay differential equations with negative shift whose solution has boundary layer. First, the
second order singularly perturbed delay differential equation is replaced by an asymptotically
equivalent first order delay differential equation. Then, Trapezoidal integration formula and
linear interpolation are employed to get three term recurrence relation which is solved easily by
Discrete Invariant Imbedding Algorithm. The method is demonstrated by implementing several
model examples by taking various values for the delay parameter and the perturbation parameter.