In this paper, a distributed load-sharing control is proposed for one class coupled inter-connected dynamical systems with non-identical nonlinear dynamics. To construct the relationship between the system input and output, the input-output feedback linearization technique is adopted. Thus, the coupled nonlinear dynamics is decoupled into a first-order multi-rate integrator and the load-sharing control design is converted into an output consensus tracking problem of such linear multi-agent system. Based on the nearest neighborhood rule, a distributed cooperative load-sharing control law with tuneable gains is designed accordingly. The load-sharing objective can be achieved through local interaction in a cooperative way provided that the communication topology satisfies the related condition. Simulation and experiment results verify the effectiveness and feasibility of the proposed approach.