A blistering machine (M1) for producing blister packs (B1) has a production line including, arranged in a series: at least one thermoforming station (101) of a first continuous band (102) of thermoformable material, in order to define a blister band (102) with blisters containing products (104); a station (105) for feeding the products (104) and filling the blister band (102) with the products; a feeding station (106) of a second band (107), feeding continuously the second band (107) over the blister band (102) to form a blister pack band (NB1); a closing station (108), where the first blister band (102) is sealed by the second band (107) to obtain a blister pack; a station (200) for processing the blister pack band (NB1); and a cutting station (R1), in which the blister pack band is cut into respective blister packs (B1) filled with the products (104). The production line extends, at least beginning from the products feeding station (105), along a continuous feeding path (A1), substantially horizontal. The processing station (200), along the path (A1), is defined by at least one printing/debossing station (109,110) of the blister pack band (NB1), which includes a printing/debossing device (135,136), moving continuously toward and away from the blister pack band (NB1) and following the blister pack band (NB1) along the path (A1).