A composition suitable for tantalum chemical-mechanical polishing (CMP) comprises an abrasive, an organic oxidizer, and a liquid carrier therefor. The organic oxidizer has a standard redox potential (E.sup.0) of not more than about 0.5 V relative to a standard hydrogen electrode. The oxidized form comprises at least one pi-conjugated ring, which includes at least one heteroatom directly attached to the ring. The heteroatom can be a N, O, S or a combination thereof. In a method embodiment, a CMP composition comprising an abrasive, and organic oxidizer having an E.sup.0 of not more than about 0.7 V relative to a standard hydrogen electrode, and a liquid carrier therefor, is utilized to polish a tantalum-containing surface of a substrate, by abrading the surface of the substrate with the composition, preferably with the aid of a polishing pad.