Could distributing vertically differentiated products in separate channels achieve a win-win outcome in the dual-channel supply chain? This paper solves the critical problem of how dual-channel supply chain members choose optimal distribution strategies regarding different product types. Products are categorized according to two characteristics : degree of quality differentiation and demand uncertainty. The manufacturer and the retailer engage in a Nash game that first simultaneously decides on inventories regarding demand forecast and then sets retail prices after uncertain demand realizes. The results show that for product types with low quality differentiation and low demand uncertainty, both supply chain members prefer to distribute low-quality products offline and high-quality products online. Meanwhile, for product types with low quality differentiation and high demand uncertainty, both supply chain members prefer to distribute high-quality products offline and low-quality products online. Finally, we prove that the optimal matches between product types and distribution strategies remain robust when quality differentiation derives from degrading high-quality products.