In this chapter we prove the Main Theorem for reducible non-pure braids. While the strategy of the proof in this case is similar to that in the case of pure braids, there are some difficulties that need additional considerations. For instance, for each conjugacy class of pure braids the irreducible braid components can be obtained by forgetting strands. This approach does not work for non-pure braids. We define irreducible braid components and irreducible nodal components in the non-pure case, and describe the respective decompositions into irreducible components and the recovery procedures.