Abstract: A method of both hardening/densifying and polishing a concrete surface includes the steps of first applying to the concrete surface a silicate, siliconate, fluorosilicate, siloxane, silazane, silicon ester, and/or silane hardening/densifying compound, allowing the compound to remain in contact with the surface for a period of time sufficient to allow it to soak into the surface of the concrete, optionally allowing the surface to thoroughly dry, and polishing the surface with water or a diluted silicate, siliconate, fluorosilicate, siloxane, silazane, silicon ester, and/or silane polishing compound. The polishing step includes the steps of applying to the concrete surface water or the diluted polishing compound, mechanically polishing the concrete surface, cleaning the concrete surface, and repeating these steps with polishing pads or discs of increasingly finer grit until the surface obtains the desired level of shine.