A movable module for hoisting telescopic towers, suitable for hoisting an ascending section of a tower hoisted in relation to a supporting section immediately outside of said tower, and the movable module also being suitable for being temporarily fixed to the head of said supporting section, the movable module comprising: - at least one hydraulic jack; - at least one hoisting cable formed by a plurality of strands going through said hydraulic jack, such that one end of the hoisting cable protrudes from an upper part of the hydraulic jack and the other end of the hoisting cable protrudes from a lower part of the hydraulic jack; - grouping means positioned substantially at one end of the hoisting cable, keeping the strands making up said hoisting cable grouped together, and wherein the mean diameter D of said cable is less than 4·d· 1/2, where d is the mean diameter of the strands forming the hoisting cable and N is the total number of strands forming the hoisting cable; - a supporting frame to which a lower part of the hydraulic jack is fixed, and comprising a channel for the hoisting cable; and characterized in that the movable module further comprises: - a cable take-up element in the form of a drum or recoiler, which can be passive or active to collaborate in the deployment and /or drawing-in of the hoisting cable, which allows said movable module to adopt a transfer position in which the hoisting cable is completely drawn in or taken up, and in which the lower end of the hoisting cable and the grouping means are housed in the channel of the frame; and in that said movable hoisting module allows for a two-way movement of the hoisting cable through the hydraulic jack, said hoisting cable being able to both be deployed out of the take-up element in the essentially descending direction and be taken up in the take-up element in essentially the ascending direction. the movable module comprising: - at least one hydraulic jack; - at least one hoisting cable formed by a plurality of strands going through said hydraulic jack, such that one end of the hoisting cable protrudes from an upper part of the hydraulic jack and the other end of the hoisting cable protrudes from a lower part of the hydraulic jack; - grouping means positioned substantially at one end of the hoisting cable, keeping the strands making up said hoisting cable grouped together, and wherein the mean diameter D of said cable is less than 4·d· 1/2, where d is the mean diameter of the strands forming the hoisting cable and N is the total number of strands forming the hoisting cable; - a supporting frame to which a lower part of the hydraulic jack is fixed, and comprising a channel for the hoisting cable; - at least one hydraulic jack; - at least one hoisting cable formed by a plurality of strands going through said hydraulic jack, such that one end of the hoisting cable protrudes from an upper part of the hydraulic jack and the other end of the hoisting cable protrudes from a lower part of the hydraulic jack; - grouping means positioned substantially at one end of the hoisting cable, keeping the strands making up said hoisting cable grouped together, and wherein the mean diameter D of said cable is less than 4·d· 1/2, where d is the mean diameter of the strands forming the hoisting cable and N is the total number of strands forming the hoisting cable; - a supporting frame to which a lower part of the hydraulic jack is fixed, and comprising a channel for the hoisting cable; and characterized in that the movable module further comprises: - a cable take-up element in the form of a drum or recoiler, which can be passive or active to collaborate in the deployment and /or drawing-in of the hoisting cable, which allows said movable module to adopt a transfer position in which the hoisting cable is completely drawn in or taken up, and in which the lower end of the hoisting cable and the grouping means are housed in the channel of the frame; - a cable take-up element in the form of a drum or recoiler, which can be passive or active to collaborate in the deployment and /or drawing-in of the hoisting cable, which allows said movable module to adopt a transfer position in which the hoisting cable is completely drawn in or taken up, and in which the lower end of the hoisting cable and the grouping means are housed in the channel of the frame; and in that said movable hoisting module allows for a two-way movement of the hoisting cable through the hydraulic jack, said hoisting cable being able to both be deployed out of the take-up element in the essentially descending direction and be taken up in the take-up element in essentially the ascending direction.