The explosions on 12 August led to the disruption of all chemical and oil tanker discharges at the port.
Shipping data from Reuters on Monday showed that tankers were discharging again, with traders and shippers confirming that operations had restarted over the weekend.
Port officials were not immediately available for comment, the news wire said.
The Tianjin Maritime Safety Administration's traffic control department said in a statement: "At present, ships apart from those carrying hazardous goods or bunker oil are entering and exiting Tianjin Port's north section normally.
