The paper considers the characteristics determination method basing on amplifasometric measurements of near field of the «antenna-radio-transparent radome» system with use of a spherical scanner. The method is based on determination of components of the amplitude spectra of homogeneous plane waves through the amplitudes of vector spherical waves of the tested antenna and the «antenna-radio-transparent radome» system. It is assumed that the radome has a regular surface shape and is a single-layer radome. The proposed method, in addition to determination of radiation characteristics, allows for the given antenna field polarization to determine the complex coefficient of passage thorough the radome as a function of spatial frequencies. It is also shown that it is possible to estimate the complex dielectric permittivity of a single-layer radome, both by calculating the components of uniform plane waves, and directly from the reduced field components on the outer surface of radome. Ways to study the radiophysical characteristics of theradom, are proposed.