The scientific bases of method of purposeful synthesis of new polybrom(chlor)containing fire resistant unsaturated polyethers of bicyclic and alycyclic structure on the basis of anhydrides of bicycloheptene- and tricycloundecenedicarboxylic acids, glycols containing polyethylene and ethylene oxide groups, maleic anhydride, (meth)acrylate acid in molecule have been developed; halogen containing epoxide and epoxy(meth)acrylate oligomers of aliphatic structure have been synthesized; the kinetic regularities of processes have been studied; on the basis of synthesized oligomers the incombustible composition materials have been made and tested.