The paper Pythagorean triples of Polygonal Numbers [3] called our attention to search on another parametric representation for Diophantine equation of x 2 + y 2 + z 2 = t 2 of n-polygonal numbers. We got benefit from the identity that gives all the solutions of the equation x 2 + y 2 + z 2 = t 2 in natural numbers. It is the aim of this paper to give the most anologous parametric representation for Diophantine equation of x 2 + y 2 + z 2 = t 2 of n-polygonal numbers. The proof is given in a computational aspect.