—This paper deals with a methodology for a real-time solving of a complex kinematics of a class of continuum manipu-lators, namely the Compact Bionic Handling Assistant (CBHA). First, a quantitative approach is used to model kinematically the CBHA inspired from the modeling of parallel rigid manipulators. For this case, the CBHA is modeled as a series of vertebrae, where each vertebra is connected to the next one through a flexible link. The latter named an inter-vertebra is modeled by a 3UPS-1UP (Universal-Prismatic-Spherical) joints. The kinematic models of the CBHA are derived from the Inverse Kinematic Equations (IKE) of each inter-vertebra. A qualitative approach based on neural networks is used to provide approximated solutions of the IKE for real-time implementation. Thus, the combination of the advantages of quantitative and qualitative approaches allows proposing a hybrid methodology for accurate modeling and solving the kinematics of this class of continuum robots. A set of experiments are conducted using a CBHA in order evaluate the level of efficiency of the proposed hybrid approach.