QuestionsHow to growTrees and ShrubsFrost damageProblem with Eucalyptus trees 0 Vote Up Vote Down Patrick Harrold asked 14 years ago Leaves are very brown in the lower part of the tree and greener towards the top – bark also peels a lot. In the other eucalyptus tree the leaves are brown in the bottom and its leafless on top. They were both doing very well up to this year. 1 Answers 0 Vote Up Vote Down Gerry Daly Staff answered 7 years ago Eucalyptus is susceptible to frost but will probably grow out of it.