A machine (M) for producing blister packs (10) includes unrolling means (3,7,21) for unrolling a band of heat-formable material from a bobbin (2) and for feeding the band (1) along a predetermined path (P) extending through subsequent stations (5,6,30,8,9,13), in which the band (1) is processed. The above-mentioned stations include a heating station (5), where the band (1) of heat-formable material is heated, a forming station (6), where a plurality of blisters (20) are formed on the band (1), a filling station (8), where the blisters (20) are filled with products, a sealing station (9), where the blister band (1a) is closed with a sealing band (11), and a cutting station (13), where the closed blister band (1ac) is cut into blister packs (10). A further heating station (30) is provided for heating the blister band (1a) along the path (P) upstream of the filling station (8), so as to heat the band (1a) to cause a thermal stabilization treatment of the blister band (1a).