A method for the continuous cleaning of the surface of a material (2) which is coated with an organic substance. Steps of the method are: introducing the material (2) into a treatment area which is supplied with a gas stream containing oxygen; earthing the material (2); and generating a plasma by imposing an electric field between the surface of the material (2) and at least one dielectric-covered electrode (3), the electric field being pulsed and providing a succession of positive and negative voltage pulses in relation to the material (2). Moreover, the maximum voltage of the positive pulses U+ is greater than the arc-striking voltage Ua, and the maximum absolute value of the voltage of the negative pulses U− is less than the striking voltage Ua. Also, a generator and a device which are used to carry out this method.