A neutral to alkaline chemical mechanical composition for polishing tungsten includes, as initial components: water; an oxidizing agent selected from an iodate compound, a periodate compound and mixtures thereof; colloidal silica abrasive particles including a nitrogen-containing compound; optionally, a pH adjusting agent; and, optionally, a biocide. The chemical mechanical polishing method includes providing a chemical mechanical polishing pad, having a polishing surface; creating dynamic contact at an interface between the polishing pad and the substrate; and dispensing the neutral to alkaline chemical mechanical polishing composition onto the polishing surface at or near the interface between the polishing pad and the substrate; wherein some of the tungsten is polished away from the substrate and, further, to at least inhibit static etch of the tungsten.