We propose and develop another approach to constructing multi-soliton solutions of an integrable two-component Camassa–Holm (CH2) system. With the help of a reciprocal transformation and a gauge transformation, we relate the CH2 system to a negative flow of the Broer–Kaup or two-boson hierarchy. The solutions of this negative flow are given in terms of Wronskians via Darboux transformation. Then the multi-soliton solutions of the CH2 system are recovered in parametric form by inverting the reciprocal transformation and the gauge transformation.