Method for controlling an asynchronous electric machine of a power train of an electric or hybrid traction motor vehicle, comprising the following steps: a request for torque (C e # ) and the mechanical rotational speed (Ω) of the asynchronous electric machine are determined, a request for rotor flux (φ r # ) is determined as a function of a mapping dependent on the request for torque (C e # ) and on the rotational speed (Ω), a request for the quadrature component of the stator current (I qs # ) is determined as a function of the request for rotor flux (φ r # ) and of the request for torque (C e # ), a request for the direct component of the stator current (I ds # ) is determined as a function of the request for rotor flux (φ r # ), the angle that the rotating field (Θ s ) forms with respect to a reference frame that is fixed with respect to the stator is determined as a function of the request for rotor flux (φ r # ), of the request for the quadrature component of the stator current (I qs # ), of the rotor angular frequency (ω r ), of the number (p) of pairs of poles of the electric machine and of the mechanical rotational speed (Ω), the quadratic component (V qs ) of the stator voltage is determined as a function of a combination of requests for the quadratic (I qs # ) and direct (I ds # ) components of the stator current, the direct component (V ds ) of the stator voltage is determined as a function of another combination of requests for the direct (I ds # ) and quadratic (I qs # ) components of the stator current, the stator voltage values in the three-phase reference frame are determined as a function of the direct (V ds ) and quadrature (V qs ) components of the stator voltages in the Park reference frame and of the angle (Θ s ) that the rotating field forms with respect to the reference frame that is fixed with respect to the stator, the three-phase stator voltage values thus determined are transmitted to the control means of the power supply inverter of the electric machine . a request for torque (C e # ) and the mechanical rotational speed (Ω) of the asynchronous electric machine are determined, a request for rotor flux (φ r # ) is determined as a function of a mapping dependent on the request for torque (C e # ) and on the rotational speed (Ω), a request for the quadrature component of the stator current (I qs # ) is determined as a function of the request for rotor flux (φ r # ) and of the request for torque (C e # ), a request for the direct component of the stator current (I ds # ) is determined as a function of the request for rotor flux (φ r # ), the angle that the rotating field (Θ s ) forms with respect to a reference frame that is fixed with respect to the stator is determined as a function of the request for rotor flux (φ r # ), of the request for the quadrature component of the stator current (I qs # ), of the rotor angular frequency (ω r ), of the number (p) of pairs of poles of the electric machine and of the mechanical rotational speed (Ω), the quadratic component (V qs ) of the stator voltage is determined as a function of a combination of requests for the quadratic (I qs # ) and direct (I ds # ) components of the stator current, the direct component (V ds ) of the stator voltage is determined as a function of another combination of requests for the direct (I ds # ) and quadratic (I qs # ) components of the stator current, the stator voltage values in the three-phase reference frame are determined as a function of the direct (V ds ) and quadrature (V qs ) components of the stator voltages in the Park reference frame and of the angle (Θ s ) that the rotating field forms with respect to the reference frame that is fixed with respect to the stator, the three-phase stator voltage values thus determined are transmitted to the control means of the power supply inverter of the electric machine . <EOS>