The invention provides a movable installing method for a mine vertical-shaft sinking headframe. The movable installing method includes the following steps that a sinking headframe is installed nearbya temporary sinking headframe, at the position where sinking construction is not influenced and between sinking winches, rails passing through headframe foundations are laid, and the bottom of the sinking headframe is connected with rails through sliding shoes; in the sinking construction process of the temporary sinking headframe, installing construction of the sinking headframe is simultaneouslycarried out; after sinking construction of the temporary sinking headframe is completed, the temporary sinking headframe is dismantled, the sinking headframe is pulled on the headframe foundations through a pulling device, and the sinking headframe is fixedly connected with the headframe foundations; fast installation of the sinking headframe is achieved through the steps. According to the movable installing method for the mine vertical-shaft sinking headframe, sinking-headframe installation, hoisting sheave-platform arrangement and slag-discharging platform and system installation are completed while temporary sinking is carried out, parallel working of shaft construction and headframe installing is greatly achieved, shaft occupying time when the headframe is installed and dismantled isgreatly shortened, and the construction period is shortened.