The detention pond is one of the crucial items in detention facilities. It may effectively alleviate the occurrence of peak discharge, control the center of flood flow, and reduce the amount of soil loss. The objective of this study is analyzing the detention volume change of a detention pond with long-duration rainfall under the known isosceles trapezoidal inflow hydrograph model. The volume change of detention, which is under the influences of a given isosceles trapezoidal inflow hydrograph and the extent of peak attenuation, is investigated by using the non-dimensional detention theory and the related mathematical analyses. The minimum detention volume of a detention pond can therefore be calculated based on the estimated of volume change of detention. The proposed detention volume estimation model Can be used for the design of detention of facilities during the hillside development. The detention pond is one of the crucial items in detention facilities. It may effectively alleviate the occurrence of peak discharge, control the center of flood flow, and reduce the amount of soil loss. The objective of this study is analyzing the detention volume change of a volume of detention, which is under the influences of a given isosceles trapezoidal inflow hydrograph and the extent of peak attenuation, is investigated by using the non-dimensional detention theory and the related mathematical analyzes. The minimum detention volume of a detention pond can therefore be calculated based on the estimated volume change of detention. The proposed detention volume estimation model Can be used for the design of detention of facilities during the hillside development .