A method of controlling an engine stop position in a hybrid electric vehicle having a motor capable of controlling engine speed is provided. The method includes: a) reducing the engine speed according to an first engine speed reduction rate using the motor in a state where fuel supplied to the engine is cut off; b) after the engine speed is reduced to first reference speed, adjusting an actual engine speed reduction rate according to second engine speed reduction rate using the motor, and monitoring a current crank position to count the number of times when the current crank position coincides with a given target engine stop position; and c) if the number of times is more than a predetermined number and if the actual engine speed is equal to or below second reference speed, stopping the engine using the motor when the current crank position coincides with the target engine stop position.