An asymmetrical resistant hinge set includes at least a resistant hinge and an elastic element coaxially positioned. The resistant hinge is hinged on a first pivotal means located on the bottom side of a body. The elastic element provides action forces on the resistant hinge and one-way resistance to generate an asymmetrical hinge effect with a greater resistance in one direction and a smaller resistance in another direction when a support lid is flipped in forward and reverse directions to reduce the resistance of the resistant hinge. As a result, when the support lid is flipped to a selected angle it still can bear the weight of the body of a portable electronic device at the anchored position without drifting.