Succulent plants can be propagated through several methods, including leaf cutting, stem cutting, and division. Leaf cuttings involve removing a healthy leaf from the parent plant and allowing it to dry out for several days before planting it in well-draining soil. Stem cuttings involve cutting a section of stem and allowing it to dry out before planting it in soil. Division involves separating the offsets or new shoots from the parent plant and planting them in their own containers. Proper care and watering are essential for successful propagation.