Abstract
Multi-dark vector soliton solutions in the N-coupled complex modified Korteweg-de Vries (N-ccmKdV) equations are derived by the binary Darboux transformation. Dark solitons exist when nonlinearities are either defocusing or mixed focusing and defocusing. From obtained multi-dark vector soliton solutions, dark-dark-soliton bound states of 3-ccmKdV equations are provided graphically and it is shown that two dark solitons repel each other and all components of solitons have a double pole. Our results might be useful for applications about vector dark soliton solutions in other N-coupled integrable system.