The utility model discloses a location grid with a streamline low pressure drop runner. The location grid comprises multiple inner strips and outer strips, wherein the multiple inner strips are crossed to form a meshed grid structure and form multiple hollow grid units; the outer strips are arranged at the periphery of the grid structure in a surrounding way and are fixed with the inner strips; rigid protrusions which convexly extend into the grid units are fixed on the inner strips; the rigid protrusions comprise planes contacted with fuel rods and side faces which are smoothly connected between the planes and the inner strips in a closed mode; downward corner angles are formed in the lowest ends of the side faces; and at least one pair of rigid protrusions opposite to each other are arranged in the grid units. According to the location grid, the incident flow area and fluid vortex are reduced by virtue of the ship structures of the rigid protrusions, so that the pressure drop is reduced, and the fuel rods can be prevented from being scratched. Correspondingly, the utility model also discloses a fuel assembly with the location grid.