A cerebral local portion cooling probe is composed so that a handheld module includes a Peltier device and a coolant liquid circulating part arranged so as to contact with the Peltier device and wirings, conduits and a heat radiating part are connected to this handheld module. Circulation of coolant liquid and operation of the Peltier device are implemented by means of a control unit, then the tip end of the handheld module is caused to contact with a cerebral local portion to be cooled and a state of the cerebral local portion is monitored in accordance with responses to the cooling. A cerebral function mapping device comprises a mapping module in which a plurality of cooling modules are arranged, each cooling module including a Peltier device and a coolant liquid circulating part in a manner similar to that of the cerebral local portion cooling probe. Wirings, conduits and a heat radiating part are connected to respective cooling modules. One of the cooling modules is selectively operated by a control unit. The mapping device includes means for inputting and accumulating data on responses when the cerebral local portion is cooled and for creating mapping data. Thereby, safety and operability can be improved in monitoring a state of the cerebral local portion and in mapping cerebral function.