A drive shaft assembly (8) for automotive applications for transmitting a rotary drive. The drive shaft assembly (8) comprising a central flexible rotatable core shaft (14), an outer sleeve (12) surrounding the central flexible core shaft (14) and spaced from the core shaft (14), and at least one elastomeric damper (20) positioned at a location (42) along the length (l₁) of the drive shaft assembly (8). The damper (20) extending to and lightly abutting against an outer cylindrical surface of the core shaft (14).