We propose a model which unifies the Left-Right symmetry with the SU(3)_L gauge group, called flipped trinification, and based on the SU(3)_C⊗ SU(3)_L⊗ SU(3)_R⊗ U(1)_X gauge group. The model inherits the interesting features of both symmetries while elegantly explaining the origin of the matter parity, W_P=(-1)^3(B-L)+2s, and dark matter stability. We develop the details of the spontaneous symmetry breaking mechanism in the model, determining the relevant mass eigenstates, and showing how

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... no masses are easily generated via the seesaw mechanism. Viable dark matter candidates can either be a fermion, a scalar or a vector, leading to potentially different dark matter phenomenology.