A robot control apparatus according to an embodiment includes: a joint angle difference calculator calculating a joint angle difference; a torque command value calculator calculating a torque command value for a joint, based on the joint angle difference; an external torque calculator calculating an external torque that is a difference between the estimated drive torque and the torque command value, and determining an external force receiving joint shaft on which an external force from the external torque acts; a compliance model storage unit storing a compliance model at the external force receiving joint shaft; a compliance correction amount calculator calculating a compliance correction amount for a task coordinate system position at the external force receiving joint shaft in accordance with the external force; and a joint angle difference correction amount calculator calculating a joint angle difference correction amount from the compliance correction amount and the partial Jacobian matrix.