The following list of Frankish Kings is one of several Wikipedia lists of incumbents.
The Frankish kingdoms were ruled by two main dynasties, the Merovingians (who established the realm) and later the Carolingians. A timeline of Frankish rulers is difficult since the realm was, according to old Germanic practice, frequently divided among the sons of a leader upon his death and then eventually reunited. For more detailed explanations, see the Franks article.
Clotaire (of Soissans) eventually took over the other three kingdoms after the deaths of his brothers (or their successors). After his own death, the kingdom was once again divided into Neustria (in the west), Burgundy, and Austrasia (in the east).
The Frankish kingdom was then divided with the Treaty of Verdun in 843 among the sons of Louis the Pious. The following table lists only the members of the Carolingian dynasty in the three subdivisions, which are the kernels of later France and the Holy Roman Empire, each with different ruling dynasties.
Zwentibold 870/1-900 son of Arnulf of Carinthia by a concubine
Louis II had only daughters, one of whom, Ermengard, married Boso of Provence, thus providing the family connection for Rudolph of Burgundy's claim to the throne.
The history of France as recounted in the "Grandes Chroniques de France," and particularly in the personal copy produced for King Charles V between 1370 and 1380 that is the saga of the three great dynasties, the Merovingians, Carolingians, and the Capetian Rulers of France, that shaped the institutions and the frontiers of the realm. This document was produced and likely commissioned during the Hundred Years' War, a dynastic struggle between the rulers of France and England with rival claims to the French throne. It should therefore be read and considered carefully as a source, due to the inherent bias in the context of its origins.
The Origins of France: Clovis to the Capetians 500-1000 by Edward James ISBN 0333270525
Late Merovingian France: History and Hagiography, 640-720 (Manchester Medieval Sources); Paul Fouracre (Editor), Richard A. Gerberding (Editor)ISBN 0719047919
Britannica Concise Encyclopedia: Merovingian Dynasty: [1].
Medieval France: An Encyclopedia, eds. W. Kibler and G. Zinn. New York: Garland Publishing, 1995.