The invention discloses a method for preparing monofluoromethane with a Pd-M alloy supported catalyst. The preparation method of the catalyst of the present invention is as follows: first load the metal M nanoparticles on the carrier, then mix and stir the Pd precursor aqueous solution, prepare monodispersed Pd atoms on the M metal through a displacement reaction, and combine the Pd atoms with the M metal by roasting. The metals are combined to form a Pd-M alloy to obtain the monodisperse Pd-M alloy supported catalyst, wherein the metal M can be Cu, Zn, Ni, Ru, Sn or Fe. Compared with single, double and multi-component non-alloy catalysts, when the Pd-M alloy supported catalyst of the present invention is used to catalyze hydrodechlorination of chlorofluoromethane to prepare monofluoromethane, it is more effective for monofluoromethane (HFC-41 ) has a higher selectivity, which can reach about 95%, and the catalyst is not easy to deposit carbon, and has a longer life (within 1000h, the activity decreases within 10%, and the selectivity decreases within 5%). The process route of fluoromethane is simple, environmentally friendly and safe.