Vacuum the silk furniture with a brush attachment. Use gentle pressure, and go over the silk with the brush multiple times to remove any loose dirt or dust.
Fill a bucket with 1 gallon of lukewarm water, and add in 2 tsp. mild laundry detergent or baby shampoo.
Dip a soft cloth into the bucket, and wring it out thoroughly. Blot any stains or spills with the cloth. Rinse the cloth in the bucket when necessary, and wring it out each time.
Empty the bucket, and rinse it out with clean water. Fill it with 1 gallon of lukewarm water, and add 2 tsp. of white vinegar.
Dip a clean cloth into the water, and wring it out thoroughly. Blot the silk fabric to remove any soap residue.
Blot the silk furniture with a dry towel to absorb any excess moisture.
Direct a fan at the silk furniture or open a window to aid in drying the fabric.