Lax pair representations of multi-component semi-discrete coupled dispersionless (sdCD) integrable system have been presented. A Lax pair is derived for the multi-component sdCD system in the form of a block matrices through generalizing the 2 x 2 Lax pair matrices to the case of 2(N) x 2(N). A Darboux transformation is studied for the multi-component sdCD system and is used to compute soliton solutions of the system. (C) 2018 Elsevier B.V. All rights reserved.