Paradise City was the capital of the planet Nimbus III, established in 2267. Paradise City housed the representatives of the three governments in control of Nimbus III, the United Federation of Planets, the Romulan Star Empire and Klingon Empire.
By 2287, after the colony had long been deemed a failure, Paradise City became a near-lawless town of rogues, covered in graffiti, including "LOST" painted over "City". Sybok and the Galactic Army of Light captured Paradise City in an attempt to lure a starship from one of the three empires to use as a means to follow his quest for Sha Ka Ree. (Star Trek V: The Final Frontier)
See also: Paradise