The Port of Tanjung Pelepas is the fastest growing container port in Malaysia. The facility is located on Malay Peninsula's most southern tip, on the eastern mouth of the Pulai River, in the State of Johor.esign details. The Port of Tanjung Pelepas allows round-the-clock berthing for all vessels due to the absence of weather or tide restrictions. Because of its strategic location at the confluence of the main east-west shipping lanes, the port offers a turnaround time of just 45 minutes.