Improved vinyl halide polymer compositions containing smoke retarding amounts of copper oxalate and an amine molybdate form less smoke and have decreased flame spread on burning in the ASTM E-84 test when the compositions also contain about 5 to 15 weight parts of a Group IIA alkaline earth metal carbonate, titanium dioxide and alumunim hydrate. Improved rigid vinyl halide polymer compositions, substantially free of liquid ester type plasticizers, also containing styrene copolymer process modifiers, copolymers of ethylene and vinyl acetate and graft copolymers of methacrylates, butadiene, and styrenes (MBS) polymers, are disclosed.