This study investigated the definition of power density for local exposure to electromagnetic fields (EMFs) by an antenna positioned near-by a human body at frequencies over 6 GHz. The relationship between the surface temperature elevation and the power densities in various near-field exposure conditions was analyzed. The results show that the applicability of the incident power density limits depends on the many factors, such as frequency, antenna, and antenna to body separation distance. Moreover, the analysis of heating factors of the absorbed power density demonstrated the dependence of locality of exposure. The findings obtained in this study may support the local exposure limits on the spatially-averaged power densities in safety guidelines and standard above 6 GHz.