This invention relates to a tower for a wind turbine, comprising one or more tubular tower sections, having an outer jacket wall and an inward directed flange in its lower and upper ends, and at least one platform arranged inside the tower for facilitating access for maintenance and repairs to the inner of the tower and to the nacelle. The tower also comprises a support structure including at least three elongated tensile load carrying members, which each is attached in its upper end to the upper flange of the tower section and in its lower end to the lower flange of the tower section and which supports one or more platforms that are suspended by the tensile load carrying members while at least one ladder is attached to the platforms. The at least one ladder is stabilized in the horizontal direction by transversal tensile load carrying members extending from the ladder to the tensile load carrying members that are vertically arranged between the upper and lower flanges. The invention also relates to a method for arranging a platform inside a tower.