The invention relates to an absorption refrigeration machine (10) that includes an evaporator (12) and an absorber (18) and is characterized in that the evaporator (12) comprises at least one evaporating unit (12′) having a coolant channel (26), through which the coolant (16) flows and which is delimited at least in part by a heat-conducting, vapor- and liquid-tight wall (24), and having at least one refrigerant channel (28) that adjoins the heat-conducting wall (24), is loaded with the refrigerant (14), and is separated from a vapor chamber (32) by a vapor-permeable, liquid-tight membrane wall (30) on the side of the refrigerant channel opposite the heat-conducting wall (24), and in that the absorber (18) comprises an absorption unit (18′) having a cooling-medium channel, through which a cooling medium (34) flows and which is delimited at least in part by a heat-conducting, vapor- and liquid-tight wall (36), and having an absorption channel (40) which adjoins the heat-conducting wall and to which the concentrated, low-refrigerant pair of working substances (22) is fed and which is loaded with refrigerant vapor (20) from the vapor chamber (32) via a vapor-permeable, liquid-tight membrane wall (42) provided on the side of the absorption channel opposite the heat-conducting wall (36).