In this paper, the rotated explicit group method for solution of time domain two dimensional electromagnetic wave propagation is derived using the rotated finite difference approximation. The method is unconditionally stable and provides a significant savings in the computational time compared to the other standard methods of natural ordering. as explicit decoupled method (EDG) and modified explicit group (MEG) method to reduce the algorithm complexity that arises by using explicit group method on elliptic problems. All these methods are favorable in parallelism due to their explicit nature. In this paper, we extend the concept of explicit decoupled group method for solution of two dimensional electromagnetic wave propagation. We derived the solving formula for a group of points using rotated Crank-Nicolson finite difference scheme which is unconditionally stable. Numerical simulations were carried out on Sun-Fire-v240 machine with one processor and significant savings in the computational time were achieved.