A vertebral rod piece connecting device includes a first connecting rod having at least one end as a joining end, in which the outer side of the joining end near the rod end is substantially spheral shaped, and the rod end has a spheral bulge a second connecting rod having at least one end as a joining end, in which the outer side of the joining end near the rod end is substantially spheral shaped, and the rod end has a spheral groove for matching with the spheral bulge of the first connecting rod a first connecting cup having a connection mechanism at the cup opening edge, in which the inner side of the cup bottom is at least partially substantially spheral shaped, and the curvature of the spheral shape is slightly smaller or substantially equal to the curvature of the joining end of outer side of the joining end of first connecting rod near the rod end for being universally joined with the spheral shape of the outer side of the joining end of the first connecting rod near the rod end, and the cup bottom has a through hole for allowing the rod end of the first connecting rod to penetrate outside from inside of the connecting cup and a second connecting cup having a connection mechanism at the cup opening edge, in which the inner side of the cup bottom is substantially spheral shaped, and the curvature of the spheral shape is slightly smaller or substantially equal to the curvature of the outer side of the joining end of the second connecting rod near the rod end for being universally joined with the spheral shape of the outer side of the second connecting rod near the rod end, and the cup bottom has a through hole for allowing the rod end of the second connecting rod to penetrate outside from inside of the cup. The present invention is characterized by the connection mechanism at the cup opening edge of the first connecting cup and the connection mechanism at the cup opening edge of the second connecting cup are formed as a self connection.一種脊椎桿件連結裝置,其包括:第一連結桿,其一端為
