A sole assembly (1) for a sports shoe includes an upper layer (10), a middle layer (20) and a lower layer (30), which are integral with each other. The upper layer (10) and the lower layer (30) are formed of soft elastic materials, such as foamed rubber or the like. The middle layer (20) has a sheet (22) formed of synthetic resin or synthetic rubber with a hardness greater than that of the upper layer (10) and the lower layer (30). The sheet (22) has a plurality of protrusions or cleats (21) of truncated cone-shape that protrude downwardly and that are formed integrally with the sheet (22). The lower layer (30) has a plurality of through holes (31) receiving respective cleats (21) for insertion thereinto. The lower layer (30) made of a soft elastic member secures gripping properties and shock absorbing properties. An edge portion of a distal end (21a) of the cleat (21) advances the gripping properties by contacting the ground.