A method for producing a tower construction from reinforced concrete having at least one cavity that extends in the longitudinal direction within the tower construction , wherein - along a periphery of the tower construction there are arranged double-wall elements , each comprising an external plate as well as an internal plate in vertical or inclined position, forming vertical external joints in-between adjacent external plates as well as vertical internal joints in-between adjacent internal plates , - the double-wall elements are secured against toppling over in their position arranged next to each other by means of an attachment to rails of a climbing formwork , - in the area of the vertical external joints as well as the vertical internal joints between the external plates and the internal plates there is installed a reinforcement , which crosses the vertical external joints and the vertical internal joints , - in the area of the horizontal external joints as well as the horizontal internal joints between the external plates and the internal plates there is installed a reinforcement , which crosses the horizontal external joints and the horizontal internal joints , - the vertical external joints and the vertical internal joints in-between the double-wall elements are closed using filling concrete , grouting mortar , silicone or a sealing strip, - a working platform arranged along the periphery of the tower construction is lifted by one construction section height , - the double-wall elements are filled with filling concrete and - the above-indicated steps for producing a construction section having a construction section height , which essentially corresponds to a height of the double-wall elements , are repeated as often as necessary to obtain a desired overall height of the tower construction . - along a periphery of the tower construction there are arranged double-wall elements , each comprising an external plate as well as an internal plate in vertical or inclined position, forming vertical external joints in-between adjacent external plates as well as vertical internal joints in-between adjacent internal plates , - the double-wall elements are secured against toppling over in their position arranged next to each other by means of an attachment to rails of a climbing formwork , - in the area of the vertical external joints as well as the vertical internal joints between the external plates and the internal plates there is installed a reinforcement , which crosses the vertical external joints and the vertical internal joints , - in the area of the horizontal external joints as well as the horizontal internal joints between the external plates and the internal plates there is installed a reinforcement , which crosses the horizontal external joints and the horizontal internal joints , - the vertical external joints and the vertical internal joints in-between the double-wall elements are closed using filling concrete , grouting mortar , silicone or a sealing strip, - a working platform arranged along the periphery of the tower construction is lifted by one construction section height , - the double-wall elements are filled with filling concrete and - the above-indicated steps for producing a construction section having a construction section height , which essentially corresponds to a height of the double-wall elements , are repeated as often as necessary to obtain a desired overall height of the tower construction . <EOS>