An electromagnetically actuatable fuel injection valve, which serves to supply fuel to a mixture-compressing internal combustion engine having externally supplied ignition. The fuel injection valve includes a valve housing with a mouth piece, in which a valve seat body is disposed, included are two magnet coils, two cores and one armature, which has a spherical guide section and is connected to a valve needle. The spherical guide section is slidably supported with its circumference in a guide bore of the valve seat body and in its stroke movement away from the core is limited by a tapered stop opening which adjoins the guide bore. Radially extending grooves are machined into the wall of the stop opening and are coextensive in the wall of the guide bore, so that the area of contact between the spherical guide section and the stop opening is decreased.