In the present study the heat exchanger network is synthesized by the design method in which the exergy analysis is incorporated with the pinch technology. The present synthesis method is applied to the existent five problems of heat exchanger network. Our method employing the minimum mumber of heat exchange units under the maximum energy recovery condition looks very reasonable even in view of the number of shells and also the area of heat exchangers in comparison with results in recent publications. It is shown that the present method brings the removal of 4 shells in one problem and in other three problems it produces almost the same heat exchange areas as those from the previous methods. Therefore it is thought that the present synthesis method can be used efficiently for the basic design to synthesize and also improve heat exchanger networks.