To improve the construction convenience of precast component reinforcement connectors and connection efficiency, grouted sleeve lapping connector of two bars was put forward, and 12 type II specimens with varied lap length and 63 type III specimens with varied lap length and bar diameter were tested under tensile load. The failure modes, ultimate bearing capabilities, load-displacement curves, and strains of bars and sleeves were discussed. The formulas of the average bonding stress were proposed. Like type I joint with single reinforcement, bar fracture and bar-grout bond-slip are two typical failure modes of the specimens. The tensile strain in the ring direction at the end of the sleeve is greater than that in the middle of the sleeve. In the middle of the sleeve, the tensile strain in the ring direction near bars is greater than that away from bars. For specimens with the same diameter that failed due to bar fracture, transverse confinement provided by the sleeve decreases as the lap length increases. The restraint force of elliptical sleeve of type III joint on grouting material is less than that of circular sleeve of type I joint, so there is not obvious yield steps on rebar outside of sleeve connector type III at late loading. This is also the reason why the tensile strain in the ring direction, at far away bars in the middle of the sleeve, does not show the increasing trend with the increase of diameter, but connector type I shows. Besides, the lap length of type III joints is more larger.