Move the wooden furniture outside. Lay a plastic tarp out on the ground and place the wooden furniture on top of it. Keep the wooden furniture out of direct sunlight.
Pour cool water into a clean spray bottle. Spray the mildew with the water. Wipe the mildew off the wooden furniture with a damp cloth.
Fill a bucket with 1 gallon of cool water. Add 1/2 cup of laundry detergent and 1 cup of white vinegar.
Saturate a clean cloth in the mixture and wring out the excess liquid.
Scrub the wooden furniture gently with the cloth. When the cloth becomes dry or dingy, wring out and soak it the mixture again.
Fill a clean bucket with cool water. Submerge a clean cloth in the water and wring out the excess liquid. Rinse the wood furniture with the cloth. Alternatively, rinse the wooden furniture with a water hose.
Wipe the wooden furniture dry with a towel.