A pressure vessel for storing a fluid, comprises an outer jacket applied to a plastic core container, the outer jacket comprising a first fibre-reinforced reinforcing device with one or several wound layers comprising first fibres that are embedded in a first matrix material, a second fibre-reinforced reinforcing device formed on the outside of the first device and with one or several wound layers comprising second fibres that are embedded in a second matrix material, and an impact-absorbing thickening of the outer jacket in a polar cap region of the plastic core container. The thickening is formed in that one or several wound layers that are thickened in the polar region are formed in at least one of the reinforcing devices with a face opening that is larger than a face opening of other non-thickened wound layers in at least one of the reinforcing devices.