The invention discloses a stretching type basket device and a construction method thereof, and the stretching type basket device is simple in structure and good in safety. The stretching type basket device comprises a hanging frame transversely erected on a floor. A lower support is arranged below the hanging frame. The hanging frame is fixed to the floor through the lower support. An adjusting support is arranged at the end, close to the interior of the floor, of the hanging frame and provided with a lifting mechanism, a rope winding mechanism, a rope guiding mechanism and a power master control box. The stretching type basket device integrates a construction operation basket, a hydraulic device and a matched safety protection system and can be used for construction of high-rise building elevation curtain walls, especially overhung overhang eave bottom ceiling curtain walls, wherein the peripheries of roofs of the high-rise building elevation curtain walls are provided with large overhung overhang eaves, joint corridors and joint bridges, the high-rise building elevation curtain walls are unique in overall elevation model, rough and uneven in inlet and outlet and overall in a linear or arc or right-V or right-W shape or other shapes and incline towards the exterior of buildings.