The boundary null controllability of a system of N linear KdV equations posed on a star-shaped network is studied. The controls are located on the right Dirichlet and Neumann conditions of N − 1 edges. First, we study the well-posedness of the system considered by using the notion of solution by transposition and interpolation arguments. Then, a Carleman inequality is shown for the adjoint system. Finally, using a dissipation estimate and the Carleman estimate, we show an observability inequality that is equivalent to null controllability.