The invention relates to a quantitative yielding node applicable to an underground engineering support lagging jack. The quantitative yielding node is formed by a lagging jack, a quantitative yielding device, a sleeve and a baffling ring; and the whole appearance shape of the quantitative yielding node is columnar or arc-shaped and the shape of the cross section is circular. The quantitative yielding node is mounted at a spandrel part, a vault part, a laneway side part or a bottom plate part of the lagging rack. The device is simple in structure and is convenient and flexible in installation; a yielding moment and a yielding amount are controllable and a plurality of yielding modes can be selected; the application range is wide; and with regard to various support lagging jacks with different shapes, sizes, cross section shapes and arc degrees, such as a mineral U-shaped steel lagging jack, circular steel pipe concrete lagging jacks with various section shapes and sizes and the like, the quantitative yielding node can be selected. The quantitative yielding node can be used for connecting the lagging jack for an underground engineering support and is particularly suitable for connecting a deep roadway support lagging jack.