The first note on Cvikov dates back to 1352. The town was an economic centre of the Milštejn estate first, and later it belonged to the Zákupy estate. From 1680 to 1775 peasant rebellions arose in Cvikov during which the rebels departed to near Zelený vrch. During the Thirty Years War armies marched through the town.
Cvikov is one of gateways to Lužické hory. It is a good location for hiking and cycling excursions; there are several castles, mansions and natural monuments in its surroundings.