Abstract: The present invention relates to an alarm system for a desktop clock capable of generating an audio alarm in the form of, for example, a voice message or the sound of running water at a preset wake-up or retiring time. More particularly, the invention relates to an alarm system for a desktop clock provided with an improved wake-up time indicating alarm unit on the main body, in which an hour hand alarm connecting gear wheel and a minute hand alarm connecting gear wheel are separately provided to facilitate the user's manipulation of the time setter on the casing in setting the wake-up and retiring time indication hands to a desired call time, thereby generating an audio alarm that reminds the user in a timely manner of the retiring time and a snooze time period of less than one hour, as well as the wake-up time.