Abstract: An anchor support for supporting a pipeline above the ground has a self-aligning support saddle that allows the pipeline to orient itself on the anchor support during construction to relieve stresses in the pipeline and to allow for variations from nominal pipeline elevation and angulation relative to the ground. The anchor support normally fixes the pipeline's position relative to the ground but also allows relative movement between the support and the pipeline upon occurrence of a seismic disturbance or other disturbance that would cause a dislocation of the pipeline and/or anchor support from its nominal position. The self-aligning support saddle, which includes a ball and socket connection for allowing the pipeline to orient itself over the saddle, is fastened to a shiftable subassembly that rests on a stationary base assembly affixed to one or more ground engaging vertical support members.