According to a known vertical drawing method for producing a cylindrical glass body, the cylinder longitudinal axis of the glass cylinder is adjusted by hand in relation to the longitudinal axis of a heating tube. The aim of the invention is to optimise the stability of said glass body. Said aim is achieved, whereby adjustment comprises the steps of detecting a value for a first radial x-y position of the cylinder longitudinal axis (16) of the glass cylinder (4) in a first horizontal detection plane (E1), drawing the glass cylinder (4), placed in the first x-y position, to form a test glass strand (10), measuring an actual state of a radial circular, or annular dimension of the test glass strand, determining a deviation between the actual state and a set state of said circular, or annulardimension with regard to the size and position thereof, whilst considering the position of the glass cylinder (4) in relation to the inner wall of the heating tube (1) during drawing, calculating a corrected x-y position of the cylinder longitudinal axis (16) by means of a correction factor (K), the value and position of the deviation, arranging the glass cylinder (4) into the heating tube (1), so that the cylinder longitudinal axis (16) extends at least in the first horizontal detection plane (E1) in the x-y position and drawing the glass cylinder (4), arranged in the corrected x-y position,to form another test glass strand (10).