The group invariant solutions of the KdV type equation with discrete delay ut(t

x)+u(t

x)ux(t

x)+uxxx(t

x)=g(x

u

u(t-τ

x)) are studied. According to the definition of an equivalence Lie group for delay differential equations

we construct the determining equations and admitted Lie groups of delay KdV type equation. Then the group invariant solutions of the delay KdV type equation are obtained.