Multi-component dark matter scenarios are studied in the model with U (1) X dark gauge symmetry that is broken into its product subgroup Z 2 × Z 3 á la Krauss-Wilczek mechanism. In this setup, there exist two types of dark matter fields, X and Y , distinguished by different Z 2 × Z 3 charges. The real and imaginary parts of the Z 2 -charged field, X R and X I , get different masses from the U (1) X symmetry breaking. The field Y , which is another dark matter candidate due to the unbroken Z 3 symmetry, belongs to the Strongly Interacting Massive Particle (SIMP)-type dark matter. Both X I and X R may contribute to Y 's 3 → 2 annihilation processes, opening a new class of SIMP models with local dark gauge symmetry. Depending on the mass difference between X I and X R , we have either two-component or three-component dark matter scenarios. In particular twoor three-component SIMP scenarios can be realised not only for small mass difference between X and Y , but also for large mass hierarchy between them, which is a new and unique feature of the present model. We consider both theoretical and experimental constraints, and present four case studies of the multi-component dark matter scenarios.