Pricing of air tickets is the core and hotspot in the research of airline revenue management, and it affects the earnings of airlines directly. In order to study the pricing problem in the condition that passenger demand is affected by factors of price and time, theorems and properties of the continuous dynamic pricing model with considering time-varying demand are discussed based on the basic dynamic pricing model. Corresponding proofs are proposed. Some of the theorems and properties do not work compared with the model without considering time-varying demand. In addition, we further discuss the pricing problem in discrete case due to the complexity of solving the continuous dynamic pricing model. Effective pricing control strategies for two fare levels and multiple fare levels are proposed respectively. Finally, we compare the effectiveness of pricing strategies based on time-varying demand and non-time-varying demand respectively. Results show that the former can generate higher total revenue of airline.