Apparatus and method for controlling hybrid vehicle

An apparatus for controlling a hybrid vehicle, comprising:

• an engine that is configured to generate driving torque by combustion of fuel;
• an integrated starter-generator that is configured to start the engine and to generate electrical energy by selectively operating as a power generator;
• a drive motor that is configured to support the power of the engine and to generate electrical energy by selectively operating as a power generator;
• a battery that is configured to charge with the electrical energy generated by the integrated starter-generator and the drive motor;
• a nitrogen oxide purification device (LNT) that is configured to purify nitrogen oxide included in exhaust gas that is exhausted from the engine;
• and
• a controller that is configured to control engine torque by calculating a target engine torque for regenerating the nitrogen oxide purification device, supporting the engine torque through the integrated starter-generator or the drive motor when a driving torque necessary for driving is greater than the target engine torque at a regeneration mode of the nitrogen oxide purification device, and performing regenerative braking with the driving torque through the integrated starter-generator or the drive motor when the driving torque is less than the target engine torque.