Method of making an open ended hollow concrete element (240) comprising the steps of arranging a mould (220) about an essentially horizontal roller shaft (210), the mould comprising a sleeve-shaped mould wall (230) defining the outer peripheral shape of the concrete element (240) and a first end rim (250) and a second end rim (260) each with an inner periphery (251, 261) smaller than the inner periphery of the mould wall (230) at respective end and defining the end surfaces of the concrete element. The mould (220) is rotatably supported by the roller shaft (210) by abutment at the inner peripheries of the first end rim (250) and the second end rim (260), so that the roller shaft (210) upon rotation defines the inner peripheral shape of the concrete elements (240); rotating the shaft to rotate the mould; feeding curable concrete to the rotating mold (220); stopping the rotation of the mould (220); removing the cured concrete element from the mould (220); w wherein the inner perimeter of the mould wall defines an exterior shape of the concrete element that varies along and/or radially to the direction of the rotational axis. There is further provided an arrangement (200) for making such concrete elements (240).