An apparatus for making “shrink sleeve” labels, comprises a carousel provided peripherally with a spindle arrangement shaped for being wound by portions of film made of plastics, a transferring unit arranged peripherally to the carousel for transferring each portion of film made of plastics on a respective spindle, an electrostatic-charge generating device arranged downstream of the transferring unit such as to charge electrostatically the portions of film made of plastics; a method for labelling containers comprises forming a sleeve and covering a container with the sleeve, the forming comprising winding a portion of film made of plastics to a respective spindle and maintaining the portion of film made of plastics adhering to the spindle in an electrostatic manner.