Method for the manufacture of a component for a motor vehicle interior with an associated flexible film of plastic material in which an electronic circuit is integrated including one or more proximity sensors and one or more LED light sources, said method of manufacture comprising the following steps: - providing said flexible film of plastic material with said integrated electronic circuit, - arranging said film within a cavity of a mold to form said component by injection of plastic material, said mold cavity being defined between a first and a second main surfaces (9a, 10a) facing each other and respectively intended to define a back surface and a front surface of the component, - said film being arranged on said first main surface of the mold cavity, - forming said component by injecting plastic material into said cavity through at least one injection duct opening out on said mold cavity at said first main surface of the mold cavity, said film having at least one opening at said injection duct, for the passage of the plastic material injected into the mold cavity, and - removing the formed component with the film associated therewith, said film defining the back surface of the component, - wherein the step of injection of plastic material is performed with a material which originates a body of substantially transparent plastic material, - wherein prior to being arranged within said mold cavity said film is thermoformed on a mold element having a profile surface corresponding to a back surface of the motor-vehicle interior component to which said film is intended to be associated, and in that before the injection of plastic material adecorative plastic film is applied over said film with said electronic circuit, resting on said first main surface of the mold cavity, whereby in the finally obtained component said decorative film is interposed between the film with said electronic circuit and the body of plastic material of the component. - providing said flexible film of plastic material with said integrated electronic circuit, - arranging said film within a cavity of a mold to form said component by injection of plastic material, said mold cavity being defined between a first and a second main surfaces (9a, 10a) facing each other and respectively intended to define a back surface and a front surface of the component, - said film being arranged on said first main surface of the mold cavity, - forming said component by injecting plastic material into said cavity through at least one injection duct opening out on said mold cavity at said first main surface of the mold cavity, said film having at least one opening at said injection duct, for the passage of the plastic material injected into the mold cavity, and - removing the formed component with the film associated therewith, said film defining the back surface of the component, - wherein the step of injection of plastic material is performed with a material which originates a body of substantially transparent plastic material, - wherein prior to being arranged within said mold cavity said film is thermoformed on a mold element having a profile surface corresponding to a back surface of the motor-vehicle interior component to which said film is intended to be associated, and in that before the injection of plastic material adecorative plastic film is applied over said film with said electronic circuit, resting on said first main surface of the mold cavity, whereby in the finally obtained component said decorative film is interposed between the film with said electronic circuit and the body of plastic material of the component.