The invention relates to a tower for a wind power installation, with the walls of the tower being produced at least partially from individual wall sections, which are connected to one another via connecting means. The object of the invention is therefore to provide a tower for a wind power installation, which can be assembled with adequate precision. Furthermore, the object of the invention is to provide a method for erection of a tower such as this. With respect to the tower, the object according to the invention is achieved in that a falsework is provided at least partially in the tower interior, to which the wall sections are connected, holding them.