In an upper vehicle-body structure for a vehicle V including a roof opening-closing unit 10 which has a glass panel 11 being capable of opening and closing an opening 2a formed in a roof panel 2 and a deflector 20a which is extended in a vehicle width direction along a front end edge portion of the roof opening-closing unit 10 and is shifted to an upper position than the opening 2a when an opening operation of the glass panel 11 is performed, the deflector 20a has plural raised walls 21 and plural recesses 22 each extending in a front-rear direction, and blocking wall portions 22c having generally same height dimensions as the raised walls 21 and being formed in a rear-side upward-inclined shape which is shifted upward toward a rear side are respectively provided in rear end portions of the plural recesses 22.