A tonneau cover apparatus for attaching a flexible cover about a cargo box of a vehicle, preferably a pickup truck. The apparatus preferably includes, a support frame removably attached about the perimeter of a cargo box of the vehicle, an elongated end plate attached to an end of the flexible cover, an end plate engagement member attached to the support frame, preferably one on each side of the support frame, and a locking member movably attached to the end plate. The end plate is preferably attached to an end of the flexible cover and is configured to cooperatively engage and pivot with respect to the end plate engagement member or members into and out of a fixed stretching position wherein the flexible cover can be correspondingly be tensed and relaxed. The end plate may be retained in the fixed stretching position by the locking member, in alternate embodiments, a plurality of locking members are provided, preferably locking members that slide within a channel in the end plate. In preferred embodiments the locking member or members are spring biased toward a locking position where the locking member engages a flange of the support frame to prevent the end plate from moving out of the fixed stretching position.