Apparatus and method of controlling a hybrid vehicle

An apparatus of controlling a hybrid vehicle includes: an engine configured to generate power by combustion of fuel; a driving motor configured to assist power of the engine and selectively operate as a power generator to generate electric energy; an HSG configured to start the engine and selectively operate as a power generator to generate electric energy; a clutch provided between the engine and the driving motor; a battery configured to supply electric energy to the driving motor or charge electric energy generated in the driving motor; an EGR apparatus configured to resupply exhaust gas discharged from the engine to the engine; an electric supercharger in which outside air supplied to combustion chambers flows; and a controller configured to variably control a travelling mode, an operating point, a lock charge through the driving motor and the HSG, and a shifting pattern based on a required torque of a driver and a SOC of the battery.