The entanglement dynamics behavior of a class of hybrid entangled state in two different quantum channels and entanglement sudden death phenomenon in the process of decoherence are investigated. The entanglement of phase damping channel and depolarization channel is calculated, and the entanglement change with time is analyzed. Results show that the entanglement sudden death phenomenon will not appear in the phase damping channel. The hybrid entangled state will undergo entanglement sudden death in the depolarization channel, and the entanglement will decay to zero within a certain time.