The combination of Savonius and Darrieus turbines had been proposed with the aim to overcome the weaknesses and complement the strengths from each design. This paper gathers relevant information and provided an extensive review on the combined Savonius-Darrieus turbine for both wind and hydro applications. The paper initially reviews the experimental and computational methodologies utilized in previous research in design evaluation of the turbines. The self-starting capability and efficiency of both turbines were the main concern. Following this, investigations were conducted on the possibility of combining the advantages on the two turbines with respect on the design compactness, radius ratios, attachment angles and rotational velocities.