The ability to adapt to a particular region is of great importance when it comes to animal production, since the interaction between animals and the environment should be taken into consideration when you want to have maximum productivity. In this study we observed that several experiments evaluating physiological parameters, structures of the integument, hormonal and behavioral changes have been performed in order to verify the adaptability of sheep to a tropical climate. Several breeds have been studied in different types of environment and time of year, however, most of these works alone comes to matters related to adaptability. Therefore, we intended to make this review a junction of several major papers in the literature, in order to facilitate the understanding of how the climate and can interfere with the adaptation and its effects on sheep production in tropical regions, as well as reporting on the use of some strategies that can be used to minimize the climatic effects on productivity, which is the main goal of those working with livestock.