Abstract: The asymptotic solution of isothermal effectiveness factor for one dimensional catalyst pellet can bedetermined by use of perturbation method when Thiele modulus is very large or very small.Taking theinformation given by these asymptotic solutions,a new approximate expression of effectiveness factor hasbeen derived as follows(?)This expression is feasible for the whole range of Thiele modulus and its accuracy is very satisfactoryin comparsion with the exact solution obtained for first order reaction.The physical meaning of the as-sumptions given to the above expression of the system has been fully considered,so that the main defectsencountered in the approximate expressions published in literature have completely been overcome.Ourexpression can be conveniently applied to most of the practical calculations with reliability.