The meaning of the name is controversial but one possibility is the combination of flint(stone) with the word bek (beck, brook).

Archeological excavations at Flintbek discovered cart tracks dating from c. 3400 BC underneath a megalithic long barrow, belonging to the Funnelbeaker culture.

In the church cemetery is a 1952 sculpture by Friedrich Wilhelm Klose, Mutter des Ostens (Mother of the East).

The inscription reads: „Ich will euch trösten, wie einen seine Mutter tröstet.

The oldest iron bridge in Germany (1865) is in the Eider Valley, in the adjacent community of Techelsdorf.