In 1994 Parnovsky, Karachentsev and Karachentseva suggested a modified method for the investigation of the orientations of galaxies. Using this method they analyzed galaxies from the UGC and ESO catalogues, as well as from their own catalogue inclusive of flat edge-on galaxies. They found statistically significant anisotropy in the galaxies orientations. In 1995 Flin suggested that this anisotropy has to be specific to Local Supercluster (LSC). In the present paper, using the method proposed by Parnovsky, Karachentsev and Karachentseva in 1994, we analyzed the orientation of galaxies in the sample of galaxies belonging to LSC founding a weak anisotropy only. The relation of this method to Hawley and Peebles (1975) method of the investigation of the orientation of galaxies was discussed as well.