The solution relates to a unique concept and an efficient construction method and device to enable faster construction by, inter alia, avoiding as much unnecessary work as possible, speeding up the assembly time of building structures and building materials and minimizing dismantling of, inter alia, hoisting cranes or as much as possible. Avoid temporary building constructions such as construction lift systems and a lifting shed. Methods and devices for building a structure such as relatively high, multi-story buildings include building the structure using construction aids which are at least partly adapted to act as functional part of the structure to be and remain permanently incorporated into the structure. A tower and/or hoisting machine of a construction crane or construction lift can be used as a permanent part of the construction, such as part of a lift installation, after the construction phase of the construction work.