The surname Zmudka has its origins in Eastern Europe, specifically in the regions that encompass modern-day Poland and parts of Ukraine and Belarus. The name first appeared in historical records in the late Middle Ages, around the 14th and 15th centuries. The name Zmudka is derived from the Old Polish word "żmudź," which refers to the historical region of Žemaitija or Samogitia in present-day Lithuania. This indicates that the original bearers of the name likely had some connection to this region, possibly as migrants or settlers.

Zmudka initially appeared in various phonetic spellings due to the lack of standardized orthography in the early historical records. Variations like Zmudk, Zmudtko, and Żmudka were common, particularly in parish records and legal documents. One of the earliest recorded instances of the surname is found in a 1427 land grant document, where a man named Jan Zmudka was listed as a landholder in what is now southern Poland.

Another significant historical reference appears in the 1527 record of the Polish-Lithuanian Commonwealth, where a nobleman named Mateusz Zmudka was noted for his service to the kingdom. This entry highlights the surname’s presence among the gentry and its association with land ownership and feudal responsibilities.

By the 17th century, Zmudka had become more widespread across Eastern Europe. Stanisław Zmudka, born in 1613 and died in 1678, served as a clerk and later a judge in the Masovian Voivodeship, indicating the family's ascent into significant administrative roles. This period also saw the name appearing in various legal and ecclesiastical documents, further entrenching its usage in the region.

In the 18th century, another prominent figure bearing this surname was Paweł Zmudka, a merchant born in 1742 who contributed to the economic development of the Kraków region. His business dealings and philanthropic activities were well-documented, showcasing the diversified roles that individuals with this surname played in society.

During the early 19th century, the name appeared in military records, with notable bearers like Michał Zmudka, born in 1795, who fought in the Napoleonic Wars and later participated in the November Uprising of 1830 against Russian rule. His military service is recorded in memoirs and regimental histories, emphasizing the surname’s presence in historical military contexts.

Zmudka remains a surname with deep historical roots in Eastern Europe, having evolved through various spellings and appearances in meaningful historical records. Its bearers have occupied roles across societal strata, from nobility and administration to commerce and military service, contributing to the rich tapestry of Eastern European history.