Merchandise which has different prices at different time can be considered as a sort of price discrimination. Related researches in literatures are called “intertemporal price discrimination.” In this paper, we extend the model Stokey analyzes intertemporal price discrimination with a more complicated cost function instead of constant cost. To simplify our analysis, monopolist is imposed to adjust price only twice in continuous-time framework, which lead to our first result that monopolist won’t have inventory. After first result, an extra assumption that there are only two types of consumers is added. We discuss how monopolist maximizes his profit under new assumption, and then we compare strategies monopolist may choose and how these strategies influence consumers. Finally, every generalized function in our model is replaced by a specific function form. A close solution of monopolist’s pricing and timing is derived to do comparative static analysis. Keywords: Monopoly, Intertemporal Price Discrimination, Comparative Static Analysis