To execute the grinding free from the generation of traces and unevenness in grinding by specifying an average value of intervals and an inclination angle of vibration driving means in a case when the vibrating barrel grinding is executed by charging a plurality of disc-shaped articles to be ground at intervals in parallel with the flowing direction, in a grinding tank in the direction vertical to the flowing direction.

Plural sheets of clutch plates 24 as articles to be ground are charged in a grinding tank 1 with a predetermined amount of media 23, and a counter weight 6 is rotated by a motor 9, whereby the grinding tank 1 is vibrated through a base 2, and the clutch plates 24 autorotate without colliding with each other to be ground, and slowly move in the grinding tank 1 in the left direction. On this occasion, an average value of intervals between the clutch plates 24 is determined to be above 1.5 times and below 5 times of a size of the media 23. The grinding tank 1 and the vibration driving means 6-9 arc installed while inclined at an angle below 10 degree in the direction vertical to the flowing direction of the media 23. Whereby the articles to be ground can be continuously ground.