To heighten the construction efficiency of pipe support, and to reduce the required space and cost for pipe support.

A pipeline fixture 4 includes: an applied part 4A applied to a support object pipe 2 to be externally fitted; and a supporting connecting part 4B extended from the applied part 4A to the outside in the direction of pipe diameter. In constructing a connecting support 5 for the pipeline fixture 4 for connecting the fixture to a support base, an L-shaped structure is composed of a leg part 5A taking a wall body 1 provided with a wall penetrating hole 3 for passing the support object pipe 2 as the support base to be connected in an erect attitude to the wall body 1 and an arm part 5B for cantilever support, extended in one direction in the horizontal attitude from the tip part of the leg part 5A in the state of connecting the leg part 5A in an erect attitude to the wall body 1, the base end part of the leg part 5A is provided with a connecting means to the wall body 1, and the tip part of the arm part 5B is provided with a connecting means for the supporting connecting part 4B of the pipe fixture 4.