Surface acoustic wave (SAW) motors offer great potential due to their high blocking forces, high positioning accuracy and simple design. As established SAW motors have a plane stator made by piezoelectric single crystals, designers have nearly no influence on changing material properties like the friction coefficient or brittleness. Furthermore, the efficiency decreases with rising travel length, caused by components of the SAW passing the slider. This article presents the theory of Rayleigh waves on cylindric rods in axial direction of propagation. Based on this, a new axisymmetric motor structure with a stator made from non-piezoelectric base material, which could avoid the problems mentioned above, was analytically characterized. Furthermore, a prototype of a plane SAW motor made from non-piezoelectric steel is presented. SAW were generated by small piezoelectric units made from lead zirconate titanate (PZT). At the working frequency of 3.85 MHz a SAW with an efficiency of 17% was generated. An idling speed of 29 mm s−1 and a blocking force of 0.19 N were measured therewith. Finally, we present a SAW generation by thick film technology. This technology allows the manufacture of piezoelectric units on cylindric rods that are necessary for the mentioned axisymmetric SAW motors. Our prototypes are compared to numeric models.