ra0001">Integrability of a general integrable nonlocal coupled nonlinear Schrödinger (NLS) equation is confirmed.
ra0002">The general N-th Darboux transformation for the nonlocal coupled NLS equation is constructed.
ra0003">By using the Darboux transformation, its soliton solutions are obtained.
ra0004">Dynamics and interactions of different kinds of solitons are discussed.