In　this　paper,　a　quad-trophic　food　chain　model　with　Beddington-DeAngelis　functional　response　is　formulated　by　incorporating　fear　effect　and　prey　refuge.　Firstly,　it　is　proved　that　the　system　is　dissipative.　Five　types　of　equilibria　are　identified,　and　the　criteria　for　local　and　global　stabilities　of　the　coexistence　equilibrium　are　deduced　by　Routh-Hurwitz　criteria　and　Li-Muldowney　geometric　approach.　Secondly,　multiple　bifurcations　are　explored.　It　is　shown　that　the　system　undergoes　transcritical　bifurcation　and　pitchfork　bifurcation　by　the　Sotomayor＇s　theorem,　Hopf　Bifurcation　by　normal　form　theory,　heteroclinic　bifurcation　and　homoclinic　bifurcation　by　stability　analysis　of　manifolds.　Moreover,　we　present　numerical　experiments　to　verify　the　correctness　of　theoretical　analysis.　In　particular,　it　is　observed　that　the　system　undergoes　period　doubling　and　period　halving　cascades,　cataclysm,　and　quasi　periodic　bifurcation　(a　torus),　thereby　entering　or　escaping　chaotic　state.　It　is　also　observed　a　saddle-focus　homoclinic　loop,　a　period　two　saddle-focus　homoclinic　loop,　and　a　period　three　saddle-focus　homoclinic　loop　for　the　system.　Finally,　it　is　found　that　fear　effect　and　prey　refuge　can　stabilize　the　system.