Determine the cause of the chipped paint and make any necessary repairs.
Cover the floor and furniture in the room needing repair with plastic sheeting or tarp.
Fill a quart-size spray bottle with warm water and spray the area with the chipped paint. If the area with chipped paint is near an electrical fixture, then wet the area with a damp sponge instead. Be careful not to get water into electrical fixtures.
Use a paint scraper to remove all the loose paint from the area.
Allow the scraped area to dry completely.
Touch up the scraped area with the same color paint originally used on the ceiling. You may have to apply two or more coats of the paint before you achieve the desired color. Allow each coat of paint to dry completely before applying another coat as the color varies when wet.