It has been desired to develop a method for producing an oxymethylene polymer, by which an oxymethylene polymer having a high polymerization degree can be produced with high efficiency while suppressing increase in the amount of generation of an odor. Further, it has been desired to develop an oxymethylene polymer resin composition, wherein generation of an odor at the time of molding or after molded to obtain a molded body is suppressed. The present invention provides a method for producing an oxymethylene polymer, wherein the oxymethylene polymer is produced by polymerizing a cyclic oligomer of formaldehyde, and wherein a boron trifluoride compound and an aryl fluoride boron compound are used as polymerization catalysts. The present invention also provides an oxymethylene polymer resin composition containing an oxymethylene polymer and a derivative of an aryl fluoride boron compound.