Top furling automated retractable greenhouse cover is a retractable cover for a greenhouse that is mounted on top of the greenhouse. Top furling automated retractable greenhouse cover comprises: a spine clamp, a left furling cover assembly, a right furling cover assembly, a hinge pin assembly, and an electrical control box. Left and right furling assemblies each comprise a curtain or cover, a furling rod, a furling motor, and a support arm. Electrical control box sends electronic signals to cause left and right covers or curtains to furl above the greenhouse when retracted and to unfurl down to the ground when extended to cover the greenhouse. The top-mounted design allows efficient use of gravity to apply tension to the furled rolls.