Natural remedies may not be as strong as bleach, and typically need to be repeated, but they are a much healthier route!

When it comes to black mold in your home, these are some of the best natural ways to deal with black mold:

Tea Tree Oil or Pine oil
Bleach will definitely work to effectively kill black mold. However, it’s ideal not to turn to bleach since bleach comes with so many concerning health side effects, including irritation to the eyes, mouth, lungs and skin. If you have asthma or another breathing problem, then the use of bleach is even more health-hazardous. Bleach can also burn human tissue, both internally and externally, especially in small children. 
Tea tree oil is one of several natural mold killers that you can employ instead of bleach. To put tea tree oil’s natural fungicide power to work, combine two teaspoons of tea tree oil with two cups water in a spray bottle and shake well. Spray the mixture anywhere that you see black mold. Then just let it sit and reapply as needed. Tea tree oil is said to be one of the best natural mold killers.  Pine oil can also be used in a similar fashion.

Baking Soda
Baking soda is another great natural anti-mold substance. Mix a teaspoon of baking soda with two cups of water in a spray bottle. Make sure to shake the mixture well. Next, spray the moldy areas and use a scrubbing brush to scrub the black mold away. Rinse the area and spray it again with the baking soda solution. This time just let it dry.

Vinegar
Put undiluted white distilled vinegar into a spray bottle and spray the vinegar directly on the moldy area(s). Let it set without any rinsing or scrubbing. This is a smelly natural mold remedy, but it’s said to be highly effective and the vinegar scent will fade.

Grapefruit Seed Extract
If you just can’t handle the smell of vinegar (even short term), then there is another option that is odorless. I’m talking about grapefruit seed extract, which is an excellent antifungal both internally and externally. To use it on a moldy area in your home, simply combine 20 drops of grapefruit seed extract with two cups of water in a spray bottle. Shake the mixture and spray it directly on the mold  and do not rinse. 

Hydrogen Peroxide
Hydrogen peroxide is another odorless option that can be used to kill black mold. Pour a 3 percent concentration hydrogen peroxide into a spray bottle and spray the moldy areas until they are saturated. Let the hydrogen peroxide sit for at least 10 minutes before scrubbing the area well. Wipe the area with hydrogen peroxide when you’re done scrubbing.

Natural remedies may not be as strong as bleach, and typically need to be repeated, but they are a much healthier route!

Important:

Identify the Moisture Source
The absolute key to dealing with black mold anywhere is to identify what’s creating the warm, damp environment in which the black mold can flourish. If you clean up black mold but don’t address the source of the moisture, then the black mold is highly likely to return. No natural or conventional treatment will prevent or remove mold permanently unless you remove mold’s necessary ingredient, which is moisture.

Fix the Source
You need to completely fix any water leaks, enable better ventilation where humidity is high and/or address any HVAC system problems. You can also purchase a dehumidifier for any areas that tend to be too humid. Exhaust fans are in kitchens and bathrooms for good reason. Make sure you use them to get moisture out of these prime mold areas.

Throw Away Mold-Ridden Items
Discard any items that are porous or if you are unable to completely remove the mold from them. It’s also a very smart idea to get rid of any carpets that have been flooded because they’re very prone to mold. Never paint or caulk over moldy surfaces. Source