In 1899, he published his first work while still attending High School[1] in a journal Matematikai és Fizikai Lapok.

He spent four semesters at the university in Budapest and his last five in Göttingen, during which he studied under the famous mathematicians József Kürschák and Hermann Minkowski.

He then received his doctorate [1] in 1907 due to his dissertation in geometry, that same year he began working for the Technische Hochschule in Budapest and remained a part of the faculty till his death in 1944.

[1] He then decided to make edits in the society's journal during his time on the committee till his death.

Kőnig's activities and lectures played a vital role in the growth of graph theoretical work of: László Egyed, Paul Erdős, Tibor Gallai, György Hajós, József Kraus, Tibor Szele, Pál Turán, Endre Vázsonyi, and many others.