An upper mold part for fixation to a clamp device of a concrete block molding machine, comprising, - an upper part, a middle part (20; 115) and a lower part, - wherein the upper part is designed as supporting structure, - wherein the lower part is formed by at least one punch (1; 119) - wherein the middle part (20; 115) is designed as intermediate body, - wherein the punch or the punches (1; 119) and the supporting structure are fixed to the intermediate body and - wherein the punch or the punches (1; 119) comprise a punch lower part and a punch upper part, - wherein the punch upper part comprises a connection means (4b, 6b) and a pressure transfer means (4a, 6b), - wherein the connection means (4b, 6b) and the pressure transfer means (4a, 6a) are arranged between the punch lower part of the punch (1; 119) and the middle part (20; 115) of the upper mold part, characterized in that the connection means (4b, 6b) and the pressure transfer means (4a, 6a) are designed in one piece as an edge profile (5; 100), - wherein the edge profile (5, 100) on a first, lower end has a first tilted fixation section and at least one first, non-tilted compressive force transfer section, - wherein this fixation section and the compressive force transfer section are in contact with the punch lower part and - wherein the edge profile (5; 100) on a second, upper end has a second, tilted fixation section and at least one second, non-tilted compressive force transfer section (17, 18), - wherein this fixation section and this compressive force transfer section or these compressive force sections (17, 18) are in contact with the middle part (20; 115). - an upper part, a middle part (20; 115) and a lower part, - wherein the upper part is designed as supporting structure, - wherein the lower part is formed by at least one punch (1; 119) - wherein the middle part (20; 115) is designed as intermediate body, - wherein the punch or the punches (1; 119) and the supporting structure are fixed to the intermediate body and - wherein the punch or the punches (1; 119) comprise a punch lower part and a punch upper part, - wherein the punch upper part comprises a connection means (4b, 6b) and a pressure transfer means (4a, 6b), - wherein the connection means (4b, 6b) and the pressure transfer means (4a, 6a) are arranged between the punch lower part of the punch (1; 119) and the middle part (20; 115) of the upper mold part, characterized in that the connection means (4b, 6b) and the pressure transfer means (4a, 6a) are designed in one piece as an edge profile (5; 100), - wherein the edge profile (5, 100) on a first, lower end has a first tilted fixation section and at least one first, non-tilted compressive force transfer section, - wherein this fixation section and the compressive force transfer section are in contact with the punch lower part and - wherein the edge profile (5; 100) on a second, upper end has a second, tilted fixation section and at least one second, non-tilted compressive force transfer section (17, 18), - wherein this fixation section and this compressive force transfer section or these compressive force sections (17, 18) are in contact with the middle part (20; 115).