A method of stabilising the images obtained by a controllable video camera of an environment that has a given spatial frame of reference associated therewith in which objects can move on preferred lanes, consisting: • in a first phase: - in determining, in relatively stable first images obtained by the controllable camera, first portions, then - in determining, in said first images, by a differential process, the remaining second portions that are complementary to the first portions, and then - in determining, in these remaining second portions, the reference position of the image point (Pi) corresponding to a first stationary object point (Po) belonging to said environment, and • in a second phase following the first: - in determining, in at least one second image taken by the controllable camera after said first images, the vector (Vd) corresponding to the movement of said image point relative to its reference position determined with said first images, said process being characterised in that - in the first phase, said first portions correspond to the preferred movement lanes for said objects and said first stationary object point has a brightness different from that of the zone of the environment that surrounds it, - said second phase comprises a step consisting in processing the second image output by the controllable camera as a function of the modulus and the direction of said vector (Vd) in such a manner that, relative to said spatial frame of reference associated with the environment, said image point (Pi) returns to its reference position. • in a first phase: - in determining, in relatively stable first images obtained by the controllable camera, first portions, then - in determining, in said first images, by a differential process, the remaining second portions that are complementary to the first portions, and then - in determining, in these remaining second portions, the reference position of the image point (Pi) corresponding to a first stationary object point (Po) belonging to said environment, and - in determining, in relatively stable first images obtained by the controllable camera, first portions, then - in determining, in said first images, by a differential process, the remaining second portions that are complementary to the first portions, and then - in determining, in these remaining second portions, the reference position of the image point (Pi) corresponding to a first stationary object point (Po) belonging to said environment, and • in a second phase following the first: - in determining, in at least one second image taken by the controllable camera after said first images, the vector (Vd) corresponding to the movement of said image point relative to its reference position determined with said first images, said process being characterised in that - in the first phase, said first portions correspond to the preferred movement lanes for said objects and said first stationary object point has a brightness different from that of the zone of the environment that surrounds it, - said second phase comprises a step consisting in processing the second image output by the controllable camera as a function of the modulus and the direction of said vector (Vd) in such a manner that, relative to said spatial frame of reference associated with the environment, said image point (Pi) returns to its reference position. - in determining, in at least one second image taken by the controllable camera after said first images, the vector (Vd) corresponding to the movement of said image point relative to its reference position determined with said first images, said process being characterised in that - in the first phase, said first portions correspond to the preferred movement lanes for said objects and said first stationary object point has a brightness different from that of the zone of the environment that surrounds it, - said second phase comprises a step consisting in processing the second image output by the controllable camera as a function of the modulus and the direction of said vector (Vd) in such a manner that, relative to said spatial frame of reference associated with the environment, said image point (Pi) returns to its reference position.