This paper presents a kinematic reconstruction algorithm for the variables of the human arm joints in robot-aided neurorehabilitation therapies. The presented algorithm uses the end effector of a rehabilitation robot and an accelerometer placed onto the upper arm to compute accurate values of the human arm chain. The goal of this algorithm is to obtain the joint values of the patient's arm to provide objective information to the therapist about the progress of the patient and to study the effectiveness of these kind of therapies.