A radial basis function network (RBFN) approach for fast inverse kinematics computation and effective singularities prevention of redundant manipulators is presented. The approach is based on using a RBFN approach for computing the inverse kinematics and also on a nonconventional implementation of an original geometric framework for the singularities prevention of redundant manipulators. The proposed implementation consists on establishing some characterizing matrices, representing some geometrical concepts, in order to obtain a performance index and a null space vector for singularities avoidance/prevention and safe path generation, and then properly including it in the overall RBFN approach.