A power umbilical is shown that comprises a number of power cables (4) to transfer large amounts of electric power, optionally electric wires and/or optical conductors (5), filler material (2, 3) in the form of rigid elongated plastic elements that are located at least partially around and between the power cables (4) and the optional wires/conductors (5), and they are collectively gathered in a twisted bundle by means of a laying operation. A protective jacket (1) encompasses the power cables (4), the optional wires/conductors (5), the filler material (2, 3), and at least one load carrying element (6) predetermined located in the cross section of the power umbilical. The power cables (4), the optional wires/conductors (5), the filler material (2, 3) and the at least one load carrying element (6), are alternately laid, i.e. by continuously alternating direction, in the entire or part of the longitudinal extension of the power umbilical. This is combined with that the laid bundle is retained or maintained substantially rotationally rigid by the protective jacket (1), possibly by the addition of a strength band, or tape, which is helically wound around the bundle adjacent to the protective jacket (1).