Allene polymers, statistical copolymers of ethylene and carbon monoxide, allene and ethylene have been obtained by using of Ziegler-Natta or rhodium-containing catalysts. Physical and mechanical properties of the materials obtained essentially depend on the structure of the polymers and composites. High adhesive properties and reactivity of the allene polymers and copolymers in the reactions of thermal and UV cross-linkage, hydrochlorination and oxidation are due to vinylidene groups in the polymers chain. The composite materials on the basis of ethylene/allene copolymers show high physicomechanical properties.  The ethylene/carbon monoxide copolymers exhibit more high adhesivness and thermal stability as compared with polyethylene. Ethylene/carbon monoxide copolymers of alternating structure have been synthesized by using of original Pd-containing catalytic system. The typical degree of polymerization was 700, and limiting viscosity number (LVN)-2 de/g. The copolymers with LWN 3 de/g was also obtained. Properties of these novel polymer materials are under investigation now.