An operations management system of energy supply networks, consisting of multiple energy supply devices and a shared battery unit, was developed. This system integrates energy demand prediction by support vector regression, optimal operation planning based on mixed-integer linear programming, and rule-based real-time operation control. To employ a shared battery unit for charging surplus power produced by energy supply devices, operational constraints of a shared battery unit were incorporated in the optimal operational planning. In the real-time control, charging–discharging rule was considered. Annual operating simulation of an energy supply network, using one SOFC, three PEFCs, and a shared battery unit, under a time-of-use power pricing showed that employing a shared battery unit slightly increases the reduction effect of the operation cost because the charging–discharging losses and wastage of surplus heat counterbalance the increase effect of the capacity factor of the PEFCs. This result indicates this energy supply network with power and heat interchanges has a high reduction performance of the operation cost even without a shared battery unit.