  The first-order superconducting fluctuation corrections to the thermal
conductivity of a granular metal are calculated. A suppression of thermal
conductivity proportional to $T_c/(T-T_c)$ is observed in a region not too
close to the critical temperature $T_c$. As $T\simeq T_c$, a saturation of the
correction is found, and its sign depends on the ratio between the barrier
transparency and the critical temperature. In both regimes, the Wiedemann-Franz
law is violated.
