An over grate filter for covering a grate and filtering storm water runoff is claimed and described. The over grate filter of the invention helps to control the flow of waterborne sediment and pollutants into the storm water grate, and it also serves to reduce the amount of sediment entering drainage systems. The invention may be fabricated from any filtration fabrics, including woven and non-woven fabrics. The selection of the specific filter fabric used in the invention depends on the anticipated storm water flow velocities, the anticipated pollutant volume and the expected maintenance schedule. The over grate filter of the invention may comprise multiple layers of filter material and a supporting inner core that enables the filter to lie flat on the storm water grate, providing improved wear resistance against foot and vehicle traffic and street sweeping activity over the prior art methods for filtering storm water.