A new single-pipe vibratory mill, the eccentric vibratory mill, is introduced. It is the result of a joint development project between the Institute for Processing and Disposal Technology at the Clausthal University of Technology and Siebtechnik, Mulheim, Germany. The eccentric vibratory mill is excited on one side by means of an unbalanced-weight drive flanged directly to the grinding pipe. Unlike conventional vibratory mills with homogeneous circular vibrations, this layout causes elliptical, circular and linear vibrations. Due to a major increase of the acceleration of the individual grinding media, the throughput is increased by the factor 2. The decrease of the ratio between kerb mass and payload and the reduction of power losses due to the bearing load leads to a power consumption reduction of 50% for eccentric vibratory mills. In order to adapt the mill to specific grinding problems, the modular design was introduced. Apart from the constructive details, a mechanical analysis for an optimum dimensioning of the eccentric vibratory mill is presented. The industrial introduction is proven by examples from the fields of mineral processing, the chemical and pigment industry as well as from the field of recycling especially milling of cemented carbides.