A double locking connector includes a base having a tapered end portion and a fitting having a chamber configured to receive the tapered end portion. Two independent locking assemblies are provided to connect the fitting with the base tapered portion to provide a secure connection. The first locking assembly includes a screw which passes through an opening in the fitting for connection with a threaded opening in the tapered portion. The second locking assembly includes a locking pin arranged in a channel in the fitting and a screw which is operable to draw the locking pin against a portion of the tapered portion. The tapered portion preferably includes three symmetrical contact surfaces which engage an inner surface of the fitting chamber to evenly distribute clamping forces from the fitting onto the tapered portion when the first locking assembly is operated.