A pivoting abdominal exercise machine is used to exercise and strengthen core muscles. The machine includes a hinged frame, a plurality of back supports, and a base stand. The plurality of back supports is connected along the hinged frame. Together, the hinged frame and the plurality of back supports are used to interact with and brace portions of the user's back as the user performs an exercise. The plurality of back supports may either be cushioned pads or rollers. The base stand is mounted to the hinged frame through an elastic pivot resistor. The elastic pivot resistor allows the user to rock, tilt, or twist about the base stand. A frame-grasping assembly is mounted to the hinged frame. The frame-grasping assembly allows the user to hold onto the device and maintain stability while performing exercises.