Navarro and Sadakane [19] gave a dynamic succinct data structure for storing an ordinal tree. The structure supports tree queries in either O ( log n / log log n ) or O ( log n ) time, and insertion or deletion of a single node in O ( log n ) time. In this paper we improve the result of Navarro and Sadakane by reducing the time complexities of some queries (e.g. degree and level_ancestor) from O ( log n ) to O ( log n / log log n ) .