The aim of this chapter is to state the definition of a triangulated category and show that the homotopy category of a stable model category is a triangulated category. Triangulated categories were developed to axiomatise the structure of the derived category of an abelian category. This structure comes in the form of exact triangles, a replacement for the short exact sequences of an abelian category. The exact triangles of a stable model category are defined in terms of cofibre sequences. We then investigate the consequences for the homotopy category of a stable model category such as the agreement between fibre and cofibre sequences. Next, we introduce exact functors, which are functors compatible with the structures of triangulated categories. We will show that a Quillen functor of stable model categories induces an exact functor of the respective homotopy categories. We end the chapter with two overview sections. This first introduces the concept of Toda brackets and applies the theory to the stable homotopy category. The second gives an example of a triangulated category that does not arise from a stable model category.