An exhaust gas purifying apparatus for an internal combustion engine having an exhaust system. The apparatus includes a NOx purifying device provided in the exhaust system. This device removes NOx from exhaust gases when a concentration of oxygen in the exhaust gases is higher than a concentration of reducing components in the exhaust gases; generates ammonia and retains the generated ammonia when the concentration of reducing components in the inflowing exhaust gases is higher than the concentration of oxygen; and purifies NOx with the retained ammonia when the concentration of reducing components in the inflowing exhaust gases is lower than the concentration of oxygen. A residual amount of ammonia retained in the NOx purifying device is estimated. The concentration of reducing components in the exhaust gases is switched with respect to the concentration of oxygen according to the estimated residual amount.