Put on protective clothing before working with Brazilian pepper. Wear a long-sleeved shirt, long pants and gloves. This plant is in the same family as poison ivy, so avoid getting sap on your skin.
Remove the entire plant and roots. Pull small trees by hand. Cut large trees with a chain saw and dig out the stump with a shovel.
Apply an herbicide such as glyphosate or triclopyr to the stump if it is too large to dig out. Only use products that are listed for control of Brazilian pepper and follow the label directions. The stump should be cut as close to the ground as possible before applying the herbicide.
Spray herbicide on the basal bark of trees that can't be cut down. Thoroughly coat the trunk from the soil line up to 1 foot above the ground. This is most effective in the fall when the trees are flowering and sap is flowing. Girdling is not necessary.
Spray a foliar herbicide on seedlings to control their growth. Spray when there is no wind to avoid herbicide drift to desirable vegetation.