Combine equal quantities of sand and peat moss to form a rooting soil. Fill a 3-inch pot with the soil mixture for each cutting you will root. Water the soil in the pots so it is moist but not soaked.
Remove 6- to 8-inch softwood cuttings with four or more leaves and buds of the current season's growth from a healthy mulberry tree.
Strip off the leaves from the lower third of cuttings with a razor knife. Dust the cut lower end of each cutting with rooting hormone compound. Insert the dusted end of each cutting into the rooting soil up to half its length.
Place the cuttings in a large, clear plastic bag. Seal the bag with a wire tie. Put the cuttings in a warm, sunny area. Mist the cuttings daily with a spray bottle filled with water.
When the cuttings begin to produce new growth, remove the pot from the plastic bag. Continue to water the cuttings as needed to keep the soil moist.
Transplant each cutting when the roots fill the 3-inch pot, to a 1 gallon grow-out pot filled with potting soil. Place the rooted cuttings outdoors to harden off in a well-lit area. Continue to water the cuttings.
Transplant the mulberry saplings into a sunny area, protected from wind, when they reach 2 to 3 feet in height. Continue to water the saplings until they become well established.