An exhaust gas purifying apparatus for an internal combustion engine having a NOx removing device provided in an exhaust system of the engine and at least one fuel injector for injecting fuel into a combustion chamber of the engine. A temperature of the NOx removing device is detected and a regeneration process, which removes sulfur oxide accumulated in the NOx removing device, is performed. The regeneration process is performed by performing at least one post injection after performing a main injection by the at least one fuel injector to raise a temperature of the NOx removing device or by increasing a main injection amount of fuel to raise the temperature of the NOx removing device without performing the post injection. The exhaust gases are then controlled to flow into the NOx removing device in the reducing state.