To reveal the bond-slip relationship between the rebar and the grout material in the grouted-sleeve connection, the rib-scale refined finite element (FE) models of the joint specimens are established using the FE software DIANA 10.3. The local bond-slip relationships of joint specimens are investigated based on the results of FE analyses. The results show that, the distribution of the rebar bond stress is roughly saddle-shaped along the anchorage length, and the peak near the loaded end transfers inwards with the increment of the load. The relative slippage between the bar and the grout increases from the rebar free end to the loaded end. As the yielding load is beyond, the relative slippage shoots up at the loaded end and develops inwards gradually. The local bond-slip curve is divided into five stages. The curves at different anchorage positions develop similarly, but their developing paths are different at the developing extent and characteristic value. The position function of the joint specimen is a binary function of the anchorage position and the relative slippage, whose function image is roughly shaped as “M”. It is suggested to fit it with the elliptic curve and the quadratic curve. The rib-scale refined FE models are capable of investigating the bond-slip constitutive models of the grouted-sleeve connections.