Compositions with a relatively high electrical conductivity and small carbon black concentration are obtained by polymerization of monomers mixture and acetylene carbon black. An considerable influence of polymerization conditions on the electrical conductivity of these compositions are ascertained. The character of the electrical conductivity and the contribution of the ionic and electronic components are changed with the increase of the electrical conductivity from σ = 10−15 to 10−2 Ω−1 cm−1. A new mechanism of the electrical conductivity in compositions is proposed. It takes into consideration a transport of electric charges through the carbon black particles and fragments of macromolecules chemically bonded with them. [Russian Text Ignored.]