A conductivity distribution derivation method for deriving a conductivity distribution within a battery having an electrode plate that is flat includes: obtaining magnetic field information indicating a magnetic field; and deriving, based on a plurality of relational expressions which (i) an x component of a magnetic field vector in an x direction parallel to the electrode plate, (ii) a y component of the magnetic field vector in a y direction parallel to the electrode plate and perpendicular to the x direction, (iii) the conductivity distribution on a two-dimensional plane parallel to the electrode plate, and (iv) an electric potential distribution on a two-dimensional plane parallel to the electrode plate satisfy, the conductivity distribution that satisfies the plurality of relational expressions with respect to the magnetic field information.