Methods and apparatuses for onshore or offshore erecting an upstanding construction comprising longitudinal construction parts, comprising the steps of providing the longitudinal construction parts, transporting the longitudinal construction parts on a vehicle to an erection site, providing a crane for hoisting the longitudinal construction parts, using the crane for placing the respective longitudinal construction parts on top of each other on a construction base at the erection site, providing the construction base and/or the longitudinal construction parts with a support and guide facility for the crane, arranging that the crane is mountable on the support and guide facility, and mounting the crane on the support and guide facility of at least one of the construction base and the longitudinal construction parts that is placed on the construction base, so as to arrange that the crane is movable up and down along the support and guide facility of the construction.