A rappel line anchor mount apparatus for use primarily with generally planar type support surfaces and fixtures provides a generally flat, substantially T-shaped body arranged to mount a rappel line on the normally upright leg extending substantially perpendicularly centrally from the work surface edge of the normally laterally extending top leg forming the T-shaped anchor body. The anchor mount apparatus may be formed with opposite jaw members pivotally secured together for movement between an extended, operative condition for use, and a collapsed, folded condition for efficient storage and carrying when not in use.