Mold is most common in basement ceilings. This is because mold is more liable to form in cold, damp areas that lack ventilation and sunlight. There are steps you can take to prevent this mold from forming.
Maintaining dryness in your basement is paramount to keeping mold from forming. Also, the source of the moisture must be identified, if there is moisture found.

If you have basement windows, opening them can help prevent mold by increasing air circulation. If you don’t have any windows in your basement, or windows that don’t open, then the use of an air conditioner or dehumidifier can help dry your basement out. The most common cause of mold on basement ceilings is areas where water is often used in the house above, for instance under the bathroom or kitchen. If you experience leaks from water pipes or appliances, check the basement ceiling often for mold. If possible you should also check/replace any insulation materials between the floor and the basement ceiling. Installing exhaust fans in bathrooms and kitchens cuts down on moisture that remains in those rooms.

Using humidity monitors can also help, these can be found at most DIY stores. You should keep the humidity level below 60 percent to prevent the growth of mold and mildew.

Maintaining gutters and downspouts is also an extremely important task, as standing water around the basement can leak into the area through hydrostatic pressure and cause mold and mildew to form. Also, insulating any pipes in your basement can reduce condensation and help to prevent mold growth.