A glute press exercise machine including: a four-bar linkage connected to a stationary frame; a rotatable back support connected to the four-bar linkage; a seat connected to the four-bar linkage; and a foot support connected to the stationary frame. A lower portion of the back support extends below the user's hips to support the users hips during a glute press exercise. This lower portion supports at least 10% of the user's weight. In operation, the seat rotates downwardly away from the user's hips during a glute press exercise and then rotates upwardly again to contact the user's bottom between every repetition of the glute press exercise. The four-bar linkage is pivotally connected to the stationary frame at a location near ground level. The foot support is positioned below 25 cm from the ground and extends forwardly beyond the front of the stationary frame.