Device for producing a fiber preform with virtually any desired surface geometry by a TFP process. A guiding device lays a fiber strand along virtually any desired path curve on a backing layer and a sewing head attaches the fiber strand on the backing layer by at least one fixing thread. The backing layer can be positioned in an xy direction in relation to the guiding device and the sewing head, wherein the sewing head and/or the guiding device can be positioned in a z direction. The separation of the positioning capabilities of the backing layer (xy direction) and the guiding device, the sewing head and the lower thread guide (z direction) provides a relatively simple device construction. Example devices can produce fiber preforms for dome-shaped composite components for use inter alia as pressure bulkheads for cabins in aircraft with virtually optimum properties.