The calculated values of power absorbed in a simulated human head exposed in the near field of portable radio transmitters are presented. A head is simulated by a homogeneous lossy sphere, and λ/2 dipole antenna is substituted for a portable radio transmitter. The distribution of the absorbed power is given for the 1Ocm radius sphere exposed in the field of 1.0W antenna power. The heating potential is 2 to 6 times higher than that exposed in the plane wave with power density of 1mW/cm^2 (the American National Standard Safety Level) at the nearest face of the sphere to the antenna.