In the real leasing market,the leaser will launch certain preferential activities to attract the lessee.For example,after a certain period of leasing,the lessee will continue to enjoy preferential prices.Based on this backdrop,this paper proposes the online leasing strategies with incremental discount and the optimal online leasing strategy and its competition are studied by the method of competitive ratio analysis.In addition,considering interest rate,the optimal competitive strategy with incremental discount is further generalized.The theoretical proves that the introduction of interest rate can enhance the competitive performance of online leasing strategy and reduce the cost of online leasing decision.The feasibility and effectiveness of the online strategies are further verified by numerical examples.