Abstract: In a turbine system of the type wherein a first large cylinder having a first flange is connected to a second large cylinder having a second flange by a multiplicity of bolts securing the first flange to the second flange, a method of precisely aligning the first and second cylinders includes steps of (a) loosening the bolts that secure the first flange to the second flange so as to permit the first and second cylinders to be slightly shifted with respect to each other; (b) removing at least one of the bolts from its respective boltholes in the first and second flanges; (c) replacing the removed bolt in the respective boltholes with an apparatus for laterally shifting the first flange with respect to the second flange by a controlled amount; (d) shifting the flanges by using the apparatus; (e) tightening the bolts; (f) removing the apparatus; and (g) replacing and tightening the removed bolt. A unique apparatus for performing the lateral shifting is also disclosed.