Method and arrangement

The invention relates to a method for transporting construction material and/or equipment inside a building under construction (1), wherein the building under construction (1) comprises plurality of vertically displaced floors (F0-Fn), the method comprising providing an elevator (GE) for transporting transport containers (9) in the building under construction (1), said elevator (GE) comprising at least a load receiving unit (7) vertically movable along one or more guide rail lines (16) in an elevator shaft (S) formed in the building under construction (1); and providing plurality of transport containers (9) each comprising a container body (9a), and an identification (10) provided on the container body for identifying the container and/or its destination in the building, most preferably the destination floor (F0-Fn) in the building under construction (1); providing one or more detectors (18a-18d) within the building under construction (1) for detecting identifications (10) of containers (9) when they are within the detection ranges of the one or more detectors (18a- 18d); moving a first transport container (9) belonging to said plurality of transport containers (9) to a loading floor (F0); loading the first transport container (9) belonging to said plurality of containers (9) on the load receiving unit (7); determining by a control system (11) destination floor (F1-Fn) of the first container (9) comprising detecting the identification (10) of the first transport container (9) with a detector (18a-18d); automatically moving the load receiving unit (7) vertically in the elevator shaft (S) to the destination floor (F1-Fn) of the first container (9); and unloading the first transport container (9) from the load receiving unit (7) to the destination floor (F1-Fn) of said first container (9). The invention also relates to a method for constructing a building and an arrangement, which implement the aforementioned method.