Amount of ground water discharging through coastline(CGD) is small compared to the amount of river discharges. However, CGD is important for gound water development in coastal areas and for contamination of coastal waters by nutrients transported by ground water. In the previous study, a method was proposed to estimate CGD from simple data such as ground water levels at observation wells and hydraulic conductivities. In this study, the method is enhanced by taking into account complexity of coastlines. A new method is proposed to estimate average hydraulic gradient, length of coastline, and average thickness of freshwater The new method is verified against numerical solutions. It is shown that the method is able to estimate CGD from complex coastlines more accurately than the previous method.