The municipality includes 69 districts (Ortsteile): Ahlendung - Bechen - Biesenbach - Biesfeld - Bilstein - Blissenbach - Bornen - Breibach - Broch - Broich - Broichhausen - Burgheim - Busch - Dahl - Delling - Dörnchen - Dorpe - Duhr - Dürscheid - Eichhof - Eisenkaul - Engeldorf - Enkeln - Forsten - Furth - Hachenberg - Hahn - Heidergansfeld - Hembach - Herrscherthal - Herweg - Höchsten - Hufe - Hungenbach - Hutsherweg - Jähhardt - Junkermühle - Kalsbach - Kochsfeld - Kohlgrube - Laudenberg - Miebach - Müllenberg - Nassenstein - Nelsbach - Oberbersten - Oberbörsch - Oberkollenbach - Oeldorf - Offermannsberg - Offermannsheide - Olpe - Olperhof - Petersberg - Richerzhagen - Schanze - Schnappe - Schwarzeln - Selbach - Spitze - Sülze - Sürth - Unterbersten-Unterbörsch - Unterossenbach - Viersbach - Waldmühle - Weiden - Weier - Wolfsorth.

On the other hand, the resident local historian Theo Stockberg, after many years of comparative etymological research on names of the settlements and fields of the Bergisches Land, holds the view that Kürten is derived from "Op de Corte", which means more or less: "on the short (watercourse)".

A wellspring does in fact exist in the original settlement area, from which today a reed-banked brook flows from the summit above the school complex into the river Sülz.

Owing to a lack of written evidence from the time before Napoleon, the archives can provide information about local historical affairs only over the past 200 years.

1965 World-famous classical music composer Karlheinz Stockhausen has a house built in Kürten, designed to his specifications by the architect Erich Schneider-Wessling.

2000 The reconstruction achievements in all regions of the Federal Republic of Germany in the second half of the 20th century open up also in Kürten, up to the 1990s, a comparatively undreamt-of infrastructural and economic upswing, accompanied with an increase in the population from scarcely 4,000 people in the post-war period to over 20,000 citizens in the year 2000.

The official blazon reads: In geteiltem Schild oben in Silber ein zwiegeschwänzter, blau bewehrter und gekrönter roter Löwe, unten in Rot ein silberner Fischreiher, der einen silbernen Fisch im Schnabel trägt.Or, in English blazon: Party per fess Argent and Gules, in the chief a demi-lion rampant Gules with double tail, langued, membered and crowned Azure, in base a heron bearing in its bill a fish Argent.The municipal coat of arms corresponds in all essentials to the original seal of the Law-courts of Cürten from 1598.

The coat of arms remained valid up until the local reorganization on 1 January 1975: At this point in time the present submunicipalities of Bechen and Olpe were included in the armorial charter.

In reaction to the altered local-political situation, Kürten received a newly redesigned municipal coat of arms, which was authorized in its present form by a charter from the district president in Cologne, dated 15 March 1982.

Traditionally the Bergische Lion forms one part of the configuration of coats of arms belonging to the communities of the original County of Berg.

For this reason the cities and municipalities of this region retain this charge as part of the armorial achievement, supplemented with independent local symbols in order to differentiate the coats of arms from each other.