We studied Dark Matter (DM) phenomenology with multiple DM species consisting of both scalar and vector DM particles in the Hidden Gauged SU(3) model of Arcadi et al. Because of the large parameter space in the Hidden Gauged SU(3) model we restrict ourselves to three representative benchmark points, each with multiple DM species. The relic densities for the benchmark points were found using a program developed to solve the coupled Boltzmann equations for an arbitrary number of interacting DM species with two particles in the final state. For each case, we varied the mass of the DM particles and then found the value of the dark SU(3) gauge coupling that gave the correct relic density. We found that in some regions of parameter space, DM would be difficult to observe in direct detection experiments while it would be easier to observe in indirect detection experiments while for other regions of parameter space the situation was reversed. Thus, measurements from both types of experiments complement each other and could help pinpoint the details of the hidden SU(3) model.