  It is shown that, two different Lax operators in the Dym hierarchy, produce
two generalized coupled Harry Dym equations. These equations transform, via the
reciprocal link, to the coupled two-component KdV system. The first equation
gives us new integrable two-component KdV system while the second reduces to
the known symmetrical two-component KdV equation. For this new two-component
coupled KdV system the Lax representation and Hamiltonian structure is defined.
