In Standard Specifications for Hybrid Structures specified by JSCE, it is required to check at the service-ability condition, that the remarkable residual displacement in shear connectors is not generated. Therefore, in the specification, the corresponding displacement or shear force on the shear force-displacement relation before unloading is specified as the critical value for verification. However, when the headed studs with the arbitrary property of stud and concrete are employed as the shear connectors, the critical value of the shear force does not always agree with the one of the displacement on the shear force-displacement relation specified in the specification. In this paper, focusing on the serviceability condition, the critical values of the shear force and the displacement on the shear force-displacement relation specified in the JSCE specification are examined concretely, when the headed studs with the arbitrary property of stud and concrete are employed as the shear connectors.