Hanging was a method of execution used on Earth and other worlds. Often hanging involved having the condemned stand on a platform. A rope was placed around the condemned's neck and the platform was removed, or a door was opened underneath the condemned allowing him or her to drop several feet. Death occured when either the person's neck was broken or the person was asphyxiated.
On a world populated by the descendants of humans kidnapped from Earth in the 19th century, several humans led by a man named Bennings hanged a Skagaran after the death of Clay Stanton. (ENT episode: "North Star")
For Cardassians, a hanging acts dually as a form of torture and an execution. Because of the Cardassians' thick musculature around the neck, it takes some time (as much as a few days) for a hanging to kill the subjects.