The invention discloses a novel method for dry cleaning of a fabric material characterized by the use of a unique dry cleaning solvent which is a tris(trimethylsiloxy) silane compound represented by the general formula of RSi(-O-SiMe 3 ) 3 , in which Me is a methyl group and R is a monovalent hydrocarbon group of 1 to 6 carbon atoms or, preferably, a methyl group, or a mixture thereof with a petroleum-based hydrocarbon solvent in a limited proportion. In addition to the excellent effect of dry cleaning equivalent to that of conventional dry cleaning solvents and little unpleasant smell remaining on the fabric material, the solvent used in the inventive method is little liable for the problems of environmental pollution against public and workers' health and the problem of ozone layer destruction in the aerosphere due to emission of vapors of halogenated hydrocarbon solvents can be solved by the inventive method.