Provided are a method, system, and program for processing call requests with respect to objects. A call request is received with respect to an object. Access authority for the object is require. An access authority set is read for execution of the call request with respect to the object. A determination is made as to whether the access authority is contained in the access authority set. A storage section storing execution results for a previous execution of the object is searched prior to executing the call request and in response to determining that the access authority is contained in the access authority set.