The oxidation of carbon monoxide on a catalyst, $LaSrNiCoO_3$ was investigatigated with a plug flow system. Kinetic quantities such as reaction-rate, reaction order and Arhenius-parameters at various reactor temperature from 200$^circ$C to 300$^circ$C were determined. Also, the optimum condition for the oxidation of carbon monoxide with this catalyst was determined and are as follows. Partial pressure of oxigen ; 428mmHg Partial pressure of carbon monoxide ; 332mmHg Mixed moral ratio of oxigen and Carbon monoxide ; 1.3 : 1 Total gas flow ; 224ml/min Reaction temperature ; 340$^circ$C The reaction kinetic equation at the optimum condition, temperature range from 200$^circ$C to 340$^circ$C, are as follow. $$ $v = Ae^{6.5Kcal/RT} [CO]^{0.93 sim 0.98} [O_2]^{0.42 sim 0.50}$ $$</TEX> In addition to this, numerical calculation were performed to evaluate the mass and heat transfer effect on this system.