Propagate cinnamon trees by using stem cuttings. Take a fresh cutting from your established tree and strip off all the leaves but a few near the top. Use a rich, moist potting soil and plant the cutting in a small pot. Place the pot in a warm window that receives partial sunlight. Keep the soil moist and be patient. Cuttings can take several months before they are ready to move outside. It is also possible to grow new cinnamon trees from seed.