A sensor-less vector control apparatus for induction motor enhanced in performance of sensor-less vector control by estimating changes in parameters in real time is provided, the apparatus including a current controller, a first phase converting unit, a second phase converting unit, a rotor speed and position estimator configured to measure a rotor speed of a rotor and a rotor flux using an output value of the first phase converting unit and to estimate a rotor position using the output value, and a stator resistance and angle error estimator configured to calculate a stator resistance and an angle error of the induction motor by receiving d, q axis current commands on the synchronous reference frame inputted from the current controller and d, q voltages on the synchronous reference frame outputted from the current controller, and to provide the stator resistance to the rotor speed and position estimator.