The results of our studies show that liquid linear polysulfide polymers of an average molecular weight 4260-1030 g mol-l can be obtained by the reaction of sodium tetrasulfide and 1,1’-[methylenebis(oxy)]-bis-[2-chloroethane] in the presence of 2.0-5.0 mol of hydrazine and at least 4.0 mol of sodium hydroxide/mol of hydrazine in a one-step procedure. The disulfide polymers in the form of sodium mercaptide are soluble in the supernatant liquid from which they are separated by acidification of the solution to a pH value of about 4. The average molecular weight and the content of sulfur in the obtained linear polymers were determined and their IR spectra were recorded.