K1T is Tatra-Yug's first model that isn't based on any product of ČKD, subsidiary of which the company originally was.

In 2018, after Kyiv was dissatisfied with recently delivered K1M6 tram, Tatra-Yug began to work on its successor.

[2] In Ukraine, the concept was presented at 5T international investment forum in Odesa on October 2019.

[3] In 2020, while the first unit of K1T306 has been on the final stage of assembly,[4] Tatra-Yug won three tenders on tram supply, two in Ukraine (Kyiv and Odesa) and one in Romania (Craiova).

[7][8] The tram has been delivered to Kyiv's Darnytske depot in August and began its operation on the recently repaired DVRZ line in September.