A battery module for an electrical storage system for an electric drive vehicle; the battery module comprising: a set of parallel cylindrical chemical batteries arranged side by side, wherein each battery has at one end a first, positive terminal and at an opposite end a second, negative terminal, and wherein said set of batteries identifies two mutually opposite sides defined by corresponding mutually opposite terminals; at least one supporting body to provide a stable mechanical support to the batteries, which comprises a plurality of tubular seats housing inside them at least ends of the chemical batteries; and at least two conductive plates, each of them arranged on said opposite sides and fastened to the corresponding opposite terminals (21, 22); the battery module being characterized in that it comprises: at least one refrigerated wall set adherent to one of said at least two conductive plates; at least one pad sandwiched between said at least one refrigerated wall and said at least one respective conductive plate, wherein said pad is made of an electrically insulating and thermally conductive material, provided to physically contact said at least one plate and said refrigerated wall, thus defining a sandwich; wherein said supporting body is made in a piece and comprises two opposite outer faces that define as many flat seats for said at least two conductive plates, and wherein it comprises, on just one of said opposite faces, a plurality of arrest elements holding the chemical batteries within the corresponding tubular seats. a set of parallel cylindrical chemical batteries arranged side by side, wherein each battery has at one end a first, positive terminal and at an opposite end a second, negative terminal, and wherein said set of batteries identifies two mutually opposite sides defined by corresponding mutually opposite terminals; at least one supporting body to provide a stable mechanical support to the batteries, which comprises a plurality of tubular seats housing inside them at least ends of the chemical batteries; and at least two conductive plates, each of them arranged on said opposite sides and fastened to the corresponding opposite terminals (21, 22); the battery module being characterized in that it comprises: at least one refrigerated wall set adherent to one of said at least two conductive plates; at least one pad sandwiched between said at least one refrigerated wall and said at least one respective conductive plate, wherein said pad is made of an electrically insulating and thermally conductive material, provided to physically contact said at least one plate and said refrigerated wall, thus defining a sandwich; wherein said supporting body is made in a piece and comprises two opposite outer faces that define as many flat seats for said at least two conductive plates, and wherein it comprises, on just one of said opposite faces, a plurality of arrest elements holding the chemical batteries within the corresponding tubular seats. at least one refrigerated wall set adherent to one of said at least two conductive plates; at least one pad sandwiched between said at least one refrigerated wall and said at least one respective conductive plate, wherein said pad is made of an electrically insulating and thermally conductive material, provided to physically contact said at least one plate and said refrigerated wall, thus defining a sandwich; wherein said supporting body is made in a piece and comprises two opposite outer faces that define as many flat seats for said at least two conductive plates, and wherein it comprises, on just one of said opposite faces, a plurality of arrest elements holding the chemical batteries within the corresponding tubular seats.