The distribution of temperature, current density and gas composition in the direct internal reforming molten carbonate fuel cell(DIR-MCFC), especially on the anode surface, was studied by the numerical modeling. The conditions for modeling of our study are as followings. Catalyst bed is made contact direct with anode and the new of fuel and oxidant is considered as the cross flow. The steam to carbon ratio(S/C ratio) is taken to be 2.5 and heat released by electrochemical reaction is transferred uniformly to the catalyst bed. Two chemical reactions, steam reforming reaction and water-gas shift reaction, are considered to be taking place in the anode-side in addition to the electrochemical reaction. The reactions in the catalyst bed is assumed to be kept in the state of equilibrium. The result of this model shows that the local temperature of fuel cell was the highest at the gas exit of each electrode and methane-steam reforming was drastically occurred until the forward 30 % position along the direction of the anode gas flow while water gas shift reaction progressed actively from the point of forward 50 % position to the end point of anode. The average composition of hydrogen at the gas outlet calculated from this model was 10% lower than that measured from experiments.