Bidirectional drawing of a polymer resin is a standard industrial method of fabricating polymer films. In the fabricating process, the resin is first stretched in the machine direction (MD) followed by an stretching in the perpendicular direction, transverse direction (TD). We used a diamond-tipped stylus to conduct scratch tests on two different biaxially oriented polymer films: polypropylene and poly(ethylene terephthalate). Atomic force microscopy studies of these scratches revealed a significant anisotropy of resistance in the MD and TD for both films. The scratch resistance in the MD was significantly higher than that in the TD. This anisotropy is considered to be a function of the structural difference in the MD and TD as observed by Raman spectroscopy. This anisotropy in scratch resistance for these polymer films would benefit understanding for surface protection or failure analysis in their applications.