A sterilization mat has a mesh-like backing with opposite faces composed intersecting stringers defining relatively large opening s in the backing. The stringers have rounded or inclined surfaces at one face of the backing and a multiplicity of resilient pins or fingers project from those surfaces for supporting and fixating medical instruments. Preferably, rounded or inclined surfaces are also provided at the underside of the backing. During sterilization, the mat minimizes the accumulation of condensed moisture on and under the mat and promotes efficient sterilization of the instruments on the mat.