The invention relates to a topology structure and a control method of a vertical axis permanent magnet direct-drive wind power converter, belonging to the technical field of wind power. The topology structure comprises a grid-side converter and a machine-side converter composed of a Vienna rectifier and a DC/DC boost converter. One end of the machine-side converter is connected with a stator of agenerator and the other end is connected with a DC bus. The other end of the DC bus bar is connected with the grid-side converter. The control method is comprises that the Vienna rectifier adopts zero-sequence component injection method to realize harmonic minimization; the DC/DC boost convert realizes boost and voltage stabilization; Grid-side converter adopts voltage-oriented control strategy torealize active power control and grid-connected control of generator. The topology structure makes the harmonic wave of the stator current small, has no mechanical vibration and torsional vibration phenomenon, overcomes the defect of high spike voltage pulse, reduces the insulation requirement of the generator, and reduces the manufacturing cost of the generator. Switching devices withstand low voltages, and are especially suitable for high voltage, high power applications.