Abstract: Particularly uniform and rapid dyeing of textile material is achieved, subsequent to feeding the dyeing liquor into a processing container filled with the textile material and heating the dyeing liquor approximately to boiling temperature, by a gradual lowering of the container pressure by means of a regulating device and/or by supplying the dyeing liquor with heat by means of a temperature regulating arrangement, so that the dyeing liquor will be kept boiling slowly and steadily at partial evaporation, and the rising steam bubbles will agitate the dyeing liquor without requiring induced circulation by means of a pump or similar, and bring the dyeing liquor into intimate contact with the textile material. The dyeing process may be aided by a pulsating motion of the dyeing liquor. In certain instances, all energy required is supplied in the form of steam.