Abstract Hydrostatic behavior for the one dimensional exclusion process with long jumps in contact with infinite reservoirs at different densities are derived. The jump rate is described by a transition probability p which is proportional to | · |&#8722;(&#947;+1) for 1 < &#947; < 2 (supper-diffusive case). The reservoirs add or remove particles with rate proportional to &#954; > 0.