In this paper a new so called Iterative laplace transform method is implemented to investigate the solution of certain important population models of non-integer order. The iterative procedure is combined effectively with Laplace transformation to develop the suggested methodology. The Caputo operator is applied to express non-integer derivative of fractional-order. the series form solution is obtained having components of convergent behavior toward the exact solution. For justification and verification of the present method some illustrative examples are discussed. The closed contact is observed between the obtained and exact solutions. Moreover, the suggested method has small volume of calculations and therefore it can be applied to handle the solutions of various problems with fractional-order derivatives.