The Cosco Pride is the largest container ship to have entered the port, KHB officials said.
The ship, billed as the largest container vessel in the world, weighs 141,823 metric tonnes, is 352.88m long and 48.2m wide. It has a cargo capacity of 13,114 TEUs.
KHB director Hsiao Ding-hsun presented an award to the ship's captain upon its arrival.
The arrival of the Cosco Pride carries significant meaning and represents a friendly gesture illustrating the cooperation project, said officials from Kao Ming Container Terminal Corp, part of the Yang Ming Group.
The Yang Ming Group, which has investments in the first phase of the Port of Kaohsiung Intercontinental Container Terminal, said it has released shares from the port investment and is currently carrying out partnership talks with Cosco.
The ship arrived in the early hours of the morning to a warm welcome from KHB officials and left for Europe at noon after taking on 1,925 containers.
The Cosco Group plans to add four more cargo ships to its European line in the near future.