He studied at the Academy of Fine Arts in Vienna from 1883 to 1891 and was a pupil of Siegmund L'Allemand and August Eisenmenger.

In 1891, at the Viennese annual exhibition, he displayed the painting Baptism of Fire of the Dragoon Regiment Windisch-Graetz in the Battle of Kolin.

[1] In addition to military subjects, the main themes of his genre paintings were scenes of the Viennese and of the imperial house (e.g. oil painting Ride of the Archduke - Crown Prince Franz Ferdinand to the Maneuver at the 590th art auction of the Dorotheum Vienna, 1970).

Despite the Association's attempt at promotion, Koch remained relatively unknown and eventually decided to return to Europe.

[2] Ludwig Koch was buried in Vienna at the Hietzing Cemetery in a dedicated grave (group 39, number 241).