A core exercise assembly includes a rack, a ball positioned in the rack, a cup that is positionable on top of the ball and a pair of knee pads that is each coupled to the top surface of the cup. Each of the user's knees can be positioned in a respective one of the knee pads for kneeling on the ball. A collar is closable around the ball having the collar being aligned with an equator of the ball. A plurality of bottom cords is each coupled between the collar and the rack. Each of the bottom cords is comprised of a resiliently stretchable material for strengthening core muscles. A shirt is wearable by the user and a plurality of top cords is each coupled between the shirt and the rack. Each of the top cords is comprised of a resiliently compressible material for exercising core muscles.