Scratch a small bit of bark away with your fingernail. Do this several inches above or below the area with the damaged bark. If the wood underneath the bark is green, your bougainvillea is still alive and the wound can be repaired. If not, your plant is probably beyond saving.
Cut around the damaged bark, removing all broken bark and leaving only healthy, living wood. Cut in the shape of an oval or circle. This helps moisture and nutrients cover the entire area, according to North Carolina State University's website.
Prune your bougainvillea. Cut it back by a third. Normally, the best time to prune is after the first flush of flowers, but if you have not pruned it yet, do it directly after repairing the bark. These plants thrive when heavily pruned, and especially when they have damaged bark. In fact, all plants that suffer from wounds in the bark do best when pruned, as this directs energy to the healing bark.
Water the plant thoroughly, and then fertilize it with organic fertilizer that has a nutrient ratio of 2:1:2 or 1:1:1. The numbers represent nitrogen, phosphorous and potassium, and will be apparent on the front of the bag. Follow the directions for application according to the age and size of your bougainvillea.