A catheter assembly comprises a casing (2) having a tubular compartment, a cap sub-assembly (3) and a catheter (1) having a catheter shaft. The distal part of the catheter is pivotally connected to the cap sub-assembly by a joint. In a closed storage position, the catheter shaft is accommodated in the tubular compartment and the cap sub-assembly seals the open end of the tubular compartment, wherein the catheter shaft extends aligned in the longitudinal direction of the casing and of the cap sub-assembly. The cap sub-assembly, in an open use position, is attachable to the casing with the catheter in an angularly displaced position, in which the longitudinal direction of the catheter is at an angle to the longitudinal direction of the casing and of the cap sub-assembly, the casing thereby serving as a laterally extending gripping member for the catheter.