This paper proposes a novel crosstalk reduction method for stereoscopic 3D displays by using a combined approach of disparity adjustment and subtractive crosstalk cancellation. Specifically, we propose a disparity adjustment method that can minimize the perceived crosstalk and negative effects of the crosstalk cancellation on the image quality. In addition, we also provide a contrast reduction method optimized for the subtractive crosstalk cancellation. The experimental results showed that the proposed method could provide higher image quality than existing crosstalk cancellation methods while successfully reducing the perceived crosstalk.