Arrangement of an umbilical of data communication lines and/or electrical energy transmission lines mounted on a lazy wave catenary riser comprising: A) the lazy wave catenary riser having: - an upper catenary section extending from an upper hang off location at an FPSO downwards and transitioning in a sag bend having a lowest sag bend point and an upward oriented end section, - a buoyant section having buoyant devices attached to the riser and extending from the upward oriented end section of the sag bend further upward and forming a hog bend of opposite curvature with respect to the sag bend and defining a highest hog bend point and a downward oriented end section, so that the sag bend and the hog bend define a double curvature section and an inflection location between the sag bend and the hog bend, - a lower catenary section extending from the downward oriented end section of the hog bend further downward and then converging towards a horizontal orientation at a touch down location on the sea bed, wherein the course of the riser has, in addition to a vertical component, a continuously growing horizontal component in a horizontal riser direction starting from the upper hang off location towards the touch down location, B) the umbilical having: - a first umbilical section extending from the upper hang off location continuously downward to a first installation point at the riser, - a second umbilical section extending from a second installation point at the riser continuously downward to the sea bed at the touch down location, wherein the first installation point is positioned in an installation region of the riser between the lowest sag bend point and the highest hog bend point, and the first umbilical section is tensioned to a flatter catenary shape than the catenary shape of the riser between the upper hang off location and the first installation point, so that between the upper hang off location and the first installation point the first umbilical section extends at a distance and detached from the riser. A) the lazy wave catenary riser having: - an upper catenary section extending from an upper hang off location at an FPSO downwards and transitioning in a sag bend having a lowest sag bend point and an upward oriented end section, - a buoyant section having buoyant devices attached to the riser and extending from the upward oriented end section of the sag bend further upward and forming a hog bend of opposite curvature with respect to the sag bend and defining a highest hog bend point and a downward oriented end section, so that the sag bend and the hog bend define a double curvature section and an inflection location between the sag bend and the hog bend, - a lower catenary section extending from the downward oriented end section of the hog bend further downward and then converging towards a horizontal orientation at a touch down location on the sea bed, wherein the course of the riser has, in addition to a vertical component, a continuously growing horizontal component in a horizontal riser direction starting from the upper hang off location towards the touch down location, - an upper catenary section extending from an upper hang off location at an FPSO downwards and transitioning in a sag bend having a lowest sag bend point and an upward oriented end section, - a buoyant section having buoyant devices attached to the riser and extending from the upward oriented end section of the sag bend further upward and forming a hog bend of opposite curvature with respect to the sag bend and defining a highest hog bend point and a downward oriented end section, so that the sag bend and the hog bend define a double curvature section and an inflection location between the sag bend and the hog bend, - a lower catenary section extending from the downward oriented end section of the hog bend further downward and then converging towards a horizontal orientation at a touch down location on the sea bed, B) the umbilical having: - a first umbilical section extending from the upper hang off location continuously downward to a first installation point at the riser, - a second umbilical section extending from a second installation point at the riser continuously downward to the sea bed at the touch down location, - a first umbilical section extending from the upper hang off location continuously downward to a first installation point at the riser, - a second umbilical section extending from a second installation point at the riser continuously downward to the sea bed at the touch down location, the first installation point is positioned in an installation region of the riser between the lowest sag bend point and the highest hog bend point, and the first umbilical section is tensioned to a flatter catenary shape than the catenary shape of the riser between the upper hang off location and the first installation point, so that between the upper hang off location and the first installation point the first umbilical section extends at a distance and detached from the riser.