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This thesis is dedicated to construct a non-abelian holographic dynamical minimal composite Higgs model. We first build a non-abelian bottom-up AdS/YM model that can explain the QCD meson spectrum well. The model is made non-abelian by considering non-abelian DBI action in the top-down model. We then change the dual theory from the QCD to the minimal composite Higgs model U (4)/Sp(4). By adding a second explicit U (4) → Sp(4) breaking through the NJL interaction at the boundary, we managed to construct a composite Higgs phase and a technicolor phase in this model. The transition between the two phases is also realized, which is controlled by the NJL coupling. This thesis is based on the works [1, 2].