A ball end mill comprising: an end mill main body which rotates around an axis; a plurality of chip discharge grooves formed at intervals in a circumferential direction at an outer periphery of a tip portion of the end mill main body; and a gash which is formed at a tip portion of each of the chip discharge grooves and extends toward an inner periphery side, a plurality of end cutting edges, wherein each end cutting edge of which a rotational locus around the axis having a hemispherical shape is formed at an intersection ridgeline portion between a wall surface facing an end mill rotation direction of the gash and a tip flank face of the tip portion of the end mill main body, which intersects with the wall surface, the hemispherical rotational locus is convex toward the tip side and has a center on the axis, at least two end cutting edges among the plurality of end cutting edges are extended to the vicinity of the axis in a tip of the end mill main body, two of the gashes, the two end cutting edges of which are adjacent to each other in the circumferential direction and are among the end cutting edges extended to the vicinity of the axis in the tip of the end mill main body, are formed such that in a front view of the tip of the end mill main body from an axial direction, a first gash which is located on the end mill rotation direction side extends beyond the axis on the tip of the end mill main body and a second gash which is located on the rear side in the end mill rotation direction does not exceed the axis on the tip of the end mill main body, a first tip flank face which intersects with a wall surface facing the end mill rotation direction of the first gash through a first end cutting edge out of the two end cutting edges is extended toward a second tip flank face which intersects with a wall surface facing the end mill rotation direction of the second gash through a second end cutting edge out of the two end cutting edges, a concavely curved surface which is connected to an extended portion of the first tip flank face and extends toward the outer periphery side of the end mill main body is formed between the extended portion of the first tip flank face and the second tip flank face, the second end cutting edge directly intersects with the concavely curved surface at an obtuse angle, characterized in that an included angle (θ) between a straight line connecting an intersection point between the second end cutting edge and the concavely curved surface, that is, an inner peripheral end of the second end cutting edge, and the center of the hemispherical rotational locus, and the axis is in a range of 1° to 10°. an end mill main body which rotates around an axis; a plurality of chip discharge grooves formed at intervals in a circumferential direction at an outer periphery of a tip portion of the end mill main body; and a gash which is formed at a tip portion of each of the chip discharge grooves and extends toward an inner periphery side, a plurality of end cutting edges, wherein each end cutting edge of which a rotational locus around the axis having a hemispherical shape is formed at an intersection ridgeline portion between a wall surface facing an end mill rotation direction of the gash and a tip flank face of the tip portion of the end mill main body, which intersects with the wall surface, the hemispherical rotational locus is convex toward the tip side and has a center on the axis, at least two end cutting edges among the plurality of end cutting edges are extended to the vicinity of the axis in a tip of the end mill main body, two of the gashes, the two end cutting edges of which are adjacent to each other in the circumferential direction and are among the end cutting edges extended to the vicinity of the axis in the tip of the end mill main body, are formed such that in a front view of the tip of the end mill main body from an axial direction, a first gash which is located on the end mill rotation direction side extends beyond the axis on the tip of the end mill main body and a second gash which is located on the rear side in the end mill rotation direction does not exceed the axis on the tip of the end mill main body, a first tip flank face which intersects with a wall surface facing the end mill rotation direction of the first gash through a first end cutting edge out of the two end cutting edges is extended toward a second tip flank face which intersects with a wall surface facing the end mill rotation direction of the second gash through a second end cutting edge out of the two end cutting edges, a concavely curved surface which is connected to an extended portion of the first tip flank face and extends toward the outer periphery side of the end mill main body is formed between the extended portion of the first tip flank face and the second tip flank face, the second end cutting edge directly intersects with the concavely curved surface at an obtuse angle, characterized in that an included angle (θ) between a straight line connecting an intersection point between the second end cutting edge and the concavely curved surface, that is, an inner peripheral end of the second end cutting edge, and the center of the hemispherical rotational locus, and the axis is in a range of 1° to 10°.