This internal gear pump accommodates: a ring-shaped internally toothed gear provided with internal teeth, and an externally toothed gear provided with external teeth which internally mesh with the internal teeth of the internally toothed gear, said externally toothed gear being eccentrically disposed inside the internally toothed gear. The number of internal teeth is one greater than the number of external teeth. In any one of the external teeth and the internal teeth, a tooth tip section and a meshing section are formed by a curve having one continuous curvature. The curve is formed by an equation with which the maximum curvature is at the apex of the tooth tip, and the curvature gradually reduces towards the tooth bottom section.