The use of a cache for a storing and processing of Web object is becoming larger. Also, many studies for efficient management of storing scope on cache are performed actively. Web caching technique have many differences with traditional techniques. Particularly, a heterogeneity of Web object which is a processing unit of Web caching and a variation of Web object reference characteristic with time are the important causes to decrease performance of existing techniques. In this study, We proposed the ACASH which was new web caching technique. As ACASH divided and managed Web object and a cache scope with a heterogeneity, It can reduced a heterogeneity variation of an object. Also, it is reflecting a variation of object reference characteristics with time adaptively. In the experiment, We verified that the performance of ACASH was improved than existing techniques on the two experiment model which considered a heterogeneity of an object.