Obtain the Mountain Mahogany plant, or its seeds. The seeds can sometimes be obtained while hiking in mountain or desert areas in the late summer or fall, but the seeds and plants can be readily purchased online.
Sow seeds in the fall or in the spring. If you plan to sow in the spring, pretreat the seeds by soaking them eight hours in hydrogen peroxide and stratifying them for two to three months before sowing in the spring, according to the Plants of the Southwest website.
Place larger plants in full or partial sun and be careful not to overwater them. The Mountain Mahogany is very hardy and needs little tending. It thrives in sandy, well-drained soil, though it is very adaptable. Seeds and seedlings need shade and plant litter to do well, according to the Cerrillos Hills State Park website.
Use the Mountain Mahogany as a landscaping screen or as a clipped hedge, suggests the Denver Botanic Gardens website. The site notes that Mountain Mahogany is heat, sun and drought tolerant.