In a method of operating a particle filter in an exhaust system of a motor vehicle internal combustion engine, wherein the particle filter is reconditioned, in intervals, by a soot-burn-off procedure, the amount of noncombustible ashes also collected in the particle filter is reduced by heating the particle filter and supplying to the particle filter, together with the exhaust gas of the internal combustion engine, a reducing agent which reacts with the ash deposits so as to chemically convert the ash deposits such that at least non-metallic ash components are decomposed and carried out of the particle filter by the exhaust gas.