The present invention may provide various improvements over conventional cross connectors. For example, the present invention may provide various types of Real-X cross connectors, which may have an arch shape X-bridge that curves above the spinal bone segments of the patient. As such, the Real-X cross connectors may be more adaptive to the patients spinal provide and provide better protect for the patients the spinal bone segments. For another example, the present invention may provide various types of Real-O cross connectors, which may have a protection ring for protecting the patients spinous process. Because of its protection ring, the implantation of one of the Real-O cross connectors may eliminate the need of spinous process removal. Furthermore, a Real-O cross connector may be combined with a Real-X cross connector to form a Real-XO cross connector, which may inherit the functional benefits of both the Real-X and Real-O cross connectors.