The invention relates to an externally meshed spherical gear pump, which comprises a pump body (1), a male gear (2), a female gear (3), a driven shaft (4), a driving shaft (5), and a rear pump cover ( 6), positioning pin (7), bearing cover (8), front pump cover (9); the tooth shape of the male tooth gear (2) is a convex spherical tooth, and the tooth shape of the female tooth gear (3) is the same as that of the male tooth The convex spherical teeth of the gear (2) are concave spherical teeth meshed with each other; the working tooth surfaces of the male gear and the female gear of the present invention are spherical convex tooth profiles and concave tooth corridors, and the volume change of the oil suction chamber is large , and the arc radius of the convex tooth profile and the concave tooth corridor are equal, therefore, the contact strength of the teeth is high, the load between the teeth is small, the output flow is large, the flow pulsation is small, the noise is low, and the stability and service life of the pump are average. Outperforms conventional gear pumps with involute tooth profiles.