A multi-stage transmission for vehicle may an input shaft, an output shafts, first to fourth planetary gear devices transmitting rotary force between the input and output shafts, each of them having three rotary elements, and at least six shifting elements connected to the rotary elements of the planetary gear devices, wherein first rotary element of the first planetary gear device is permanently connected to the input shaft, second rotary element is installed to be fixable by any one of the shifting elements, and third rotary element is permanently connected to second rotary element of the second planetary gear device.