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A novel bipolar photon-controlled generalized memristor model with an avalanche photodiode (APD) passive quenching circuit is presented in this paper. The SPICE model of the circuit is established and its fingerprints are analyzed by the pinched hysteresis loops with different bipolar periodic stimuli. The dynamical characteristics of the proposed circuit model are investigated both theoretically and simulatively. The results verified by Cadence Spectre circuit simulator demonstrate that the proposed circuit model is a simple bipolar photon-controlled generalized memristor. Compared with the previously published memristor models, the biggest innovation of this paper is to propose a bipolar generalized memristor model instead of the traditional model, which can easily form the pinched hysteresis loop. Another highlight is that the generalized memristor model in this paper is controlled by photons while conventional memristors are charge-controlled/flux-controlled. Furthermore, the circuit level models are more stable, more reliable and more resistant to interference than the device level models. The topological structure of the proposed circuit model in this paper is much more simpler.