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With the assistance of two extra groups, i.e., an extra hidden gauge group$SU(2)_D$ and a global $U(1)$ group, we propose a two component dark matter(DM) model. After the symmetry $SU(2)_D\times U(1)$ being broken, we obtainboth the vector and scalar DM candidates. The two DM candidates communicatewith the standard model (SM) via three Higgs as multi-Higgs portals. The threeHiggs are mixing states of the SM Higgs, the Higgs of the hidden sector andreal part of a supplement complex scalar singlet. We study relic density anddirect detection of DM in three scenarios. The resonance behaviors andinterplay between the two component DM candidates are represented throughinvestigating of the relic density in the parameter spaces of the two DMsmasses. The electroweak precision parameters constrains the two Higgs portalscouplings ($\lambda_m$ and $\delta_2$). The relevant vacuum stability andnaturalness problem in the parameter space of $\lambda_m$ and $\delta_2$ arestudied as well. The model could alleviate these two problems in some parameterspaces under the constraints of electroweak precision observables and Higgsindirect search.

Two component dark matter with multi-Higgs portals