System and method of controlling shift for hybrid electric vehicle

A method of controlling a shift for a hybrid electric vehicle, comprising:

• calculating, by a vehicle controller, a creep torque, a motor setting torque, and an engine setting torque using a state data;
• determining, by the vehicle controller, whether a shift control condition is satisfied based on a position value of an accelerator pedal included in the state data;
• calculating, by the vehicle controller, an available motor torque using a motor speed at an actual shift start point and a target motor speed when the shift control condition is necessary;
• calculating, by the vehicle controller, a first torque apply ratio using the motor speed at the actual shift start point, the target motor speed, and a motor speed change rate;
• calculating, by the vehicle controller, a first shift input torque using the creep torque, the engine setting torque, the available motor torque, and the first torque apply ratio;
• determining, by the vehicle controller, whether a detected motor speed is less than the motor speed at the actual shift start point;
• and
• operating, by the vehicle controller, a transmission based on the first shift input torque when the detected motor speed is less than the motor speed at the actual shift start point.