A method in the manufacture of an elevator, in which is formed an elevator arrangement, which includes an elevator hoistway, at least one elevator unit to be moved in the elevator hoistway, said unit(s) including at least an elevator car, a movable supporting structure in the elevator hoistway above the elevator car, roping suspended from the supporting structure for supporting the aforementioned at least one elevator unit to be moved, in which method the following steps are performed: a) the elevator car is used to transport passengers and/or freight, after which b) the supporting structure is lifted in the elevator hoistway, after which c) the elevator car is used to transport passengers and/or freight. In the method, between steps a) and c), additionally a step x) is performed, in which the section of the roping is lifted, separately from the lifting of the supporting structure, higher up in the elevator hoistway. An elevator arrangement includes a movable diverting pulley separate from the supporting structure, supported by which diverting pulley the section of roping is arranged to be suspended.