<p>A container connector having cones at upper and lower parts of a shaft of the connector. The lower cone can be detached from an upper corner casting of a lower container or a socket on a deck board without manually rotating the lower cone. The construction enhances workability of load discharging and provides sufficient fastening force required in different situations. To achieve the above, the lower cone has a rotation engagement structure and a non-rotatable second engagement structure. The rotation engagement structure allows the lower cone to engage with an inner edge of an engagement hole when the lower cone is in inserted into the upper corner casting or the socket and rotated from a disengagement position to an engagement position. The second engagement structure allows a projection-like engagement section, which is provided on a side face of the lower cone, to engage with the inner edge of the engagement hole even if the lower cone is not rotated when it is inserted into the upper corner casting or the socket.</p>
