Abstract: Higher order cosh Gaussian beams was defined as a higher-order-cosh function multiplied by a Gaussian function which may be solutions of the paraxial wave equation for propagation in complex optical systems. The beams can be obtained through coherent combinations of decentred Gaussian beams or cosh-Gaussian beams. And the propagation feature of the beams in free space is also investigated. It is found that the intensity distribution may be flattened.