We developed a dynamic model of limit order in an order-driven market, wherein traders differ in their share valuations. Taking into consideration the Traders' learning process, and allowing variations in the conditional probability of limit order execution, we can analyze the dynamics of such order execution. Our results, which have interesting empirical implications, are closely related to existing literature on order sequences and order execution, and yield further insight into the dynamic process of order execution. Furthermore, the paper complements literature on transaction costs of limit orders, as this study shows that the intraday pattern of the cost of limit order submitted by uninformed traders is U-shaped.