A method and an apparatus of performing a cell reselection procedure in a wireless communication system are provided. The method includes starting a first reselection timer if a signal property value of a first neighbor cell with a higher priority than a serving cell is increased to above a threshold, starting a first delay timer if a second reselection timer that is a reselection timer of a second neighbor cell with a higher priority than the first neighbor cell is running at the expiry of the first reselection timer, reselecting the second neighbor cell as a suitable cell if the second reselection timer expires before the expiry of the first delay timer, and reselecting the first neighbor cell as the suitable cell if the first delay timer expires before the expiry of the second reselection timer.