The radiofrequency electromagnetic fields (RF-EMFs) produced by widely used mobile phones are classified as possibly carcinogenic to humans by International Agency for Research on Cancer (IARC). Current data on the relationship between exposure to RF-EMFs generated by commercial mobile phones and brain cancer are controversial. Our studies show that this controversy may be caused by several parameters. However, it seems that the magnitude of exposure to RF-EMFs plays a basic role in RF-induced carcinogenesis. There is some evidence indicating that, in a similar pattern with ionizing radiation, the carcinogenesis of non-ionizing RF-EMF may have a nonlinear dose-response relationship. In this paper, the evidence which supports a nonlinear J-shaped dose-response relationship is discussed.