A processing method for a distributed computing system includes a round proposal signal transmission step, a round accept signal transmission step, a round-winning judgment step, an instance proposal signal transmission step, an instance accept signal transmission step, an instance consensus judgment step, an instance execution instruction signal transmission step, an instance execution step. In the instance consensus judgment step, a leader judges whether or not a condition regarding reception of the instance accept signal is satisfied, on the basis of whether or not the number of agents from which the leader has received the instance accept signal is greater than or equal to a number obtained by subtracting one from the majority of servers constituting a cell. In the instance proposal signal transmission step, the leader transmits, to each agent, the instance proposal signal for other instances without confirming satisfaction of the condition regarding reception of the instance accept signal.