1. A distributed information integrating method for integrating information distributively stored in plural processing devices by any one of plural processing devices in a distributed information processing system in which the plural processing devices are connected to one another through transmission media and a series of processing operations are distributively performed, comprising the steps of: collecting, by at least one first processing device, data stored in the first processing device according to a predetermined collecting condition in response to occurrence of an event serving as a trigger; transmitting, by the first processing device, the collected data to a second processing device of an original data request side; and integrating, by a second processing device, the collected data received by the second processing device according to a predetermined integrating condition.