The entanglement evolution of interacting trapped solid‐state bosons, i.e. excitons or polaritons, is theoretically studied. From an initially separable state the quasi‐particle interactions generate boson entanglement which is degraded as dissipation takes place. Based on exact solutions of a Markovian Master equation at T = 0 K, we discuss how dissipation affects the quantum entanglement dynamics of coupled solid‐state boson systems. The single trap Wigner function is also calculated and its relationship to the trapped boson entanglement is discussed.