Multi U-V Layer Magnet of Permanent Magnet Assistant Synchronous Motor (PMa-SynRM) has been implemented for electric vehicle applications due to their high torque and output power. There are many research of permanent arrangment of IPM and PMa-SyRM in V-U-∇ " Inversive delta"  [1-4] However, multi-layered U and V structures have serveral advantages such as easy assembly and robustic structure it can avoid to be demaged or deformed by centifugal forces of permanent magnets. The four-layered U-V magnet PMA-SYNRM machine has been investigated because they are enough space for optimal magnet arragment. Morover, the total harmonic distortion of air-gap density and back EMF can be adjusted by the changing angle of V magnet layers. Finally, an PMA-SYNRM machine with U layered magnets rotor is prototyped to verify the analysis.