Clamping device and method of connecting clamping device that includes a clamping band having a first end and a second end and an engagement geometry on at least one surface; and a tensioning head having a housing attached to the clamping band in the region of the first end and through which the second end of the clamping band is guidable, and an engagement element in the housing that is engageable with the engagement geometry. The engagement element is connected to the housing by a flexible connection, so that the engagement element is swivelable between a pull-through position, in which the clamping band may be pulled through the housing, and an engagement position, in which the clamping screw may engage with the engagement geometry.