Provided is a fuel cell having a structure in which a cathode and an anode face each other with a proton conductor therebetween. In this fuel cell, an oxygen reductase or the like is immobilized on at least the cathode, and the cathode is composed of a material having pores therein such as porous carbon. In this fuel cell, the volume of water contained in the cathode is controlled to be 70% or less of the volume of the pores of the cathode, whereby a high current value can be stably obtained through optimization of the amount of moisture contained in the cathode when an enzyme is immobilized on at least the cathode. Also provided is a method for operating the fuel cell.