A suspension system for towed agricultural implements having at least one floating head of a first width suspended by a four-bar linkage of a second width wherein the first width is much greater than the second width. The floating head is permitted to float to accommodate variations in ground surface elevation in a lateral or transverse direction. By permitting the floating head to float, a more consistent cutting height is realized when ground surface elevation varies in a transverse direction. A main frame is provided to which the ground engaging wheels are attached. A sub-frame is connected to the main frame via the four-bar linkage. The sub-frame is pivotally attached to the arms of the four-bar linkage by spherical bearings.