Abstract: A process for the preparation of flame-resistant soft polyurethane foams which produce less smoke in the event of fire involves reactinga) an organic polyisocyanate and/or a modified organic polyisocyanate withb) a high-molecular-weight compound containing at least two reactive hydrogen atoms and, if desired,c) a chain extender and/or crosslinking agent, in the presence ofd) a mixture of flameproofing agents which contains:di) melaminedii) expandable graphite and, if desired,diii) at least one further flameproofing agent, preferably a modified or unmodified ammonium polyphosphate,e) a blowing agent,f) a catalyst and, if desired,g) assistants and/or additives, and melamine/expandable graphite/polyether-polyol dispersions which are suitable for this purpose.