Steam iron comprising a heating body (3) comprising a steam chamber (32) and an ironing surface (52) connected thermally to the heating body (3), the ironing surface (52) being designed to come into contact with the fabric to be ironed, and being advantageously provided with steam release holes (50), the heat produced by the heating body (3) being transferred to the ironing surface (52) by conduction through at least two components (3, 4) of the iron, pressed together, characterized in that the two components (3, 4) are in direct contact with one another at at least one point of contact (40A) with a contact surface area of less than 2 mm2 and preferably less than 1 mm2.