The weighted-moment method for the parameter evaluation of the axial dispersion model was investigated with tracer response curves obtained at two points of a liquid phase flowing through a cylindrical vertical column packed with ceramic spheres. The long tail of response curves was approximated by the exponential decay function in order to obtain model parameters of better fitness. The weighted-moment method was performed through the linear regression method applied with different ranges of Laplace Parameter. The fitness of model parameters evaluated by each method was determined by comparing the hypothetical response curve obtained from the evaluated model parameters with the actual response curve obtained experimentally. The weighted-moment method performed with appropriate range of Laplace parameter had provided more reliable model parameters than those obtained from the moment method.