In　this　article,　we　investigate　the　global　behavior　of　weak　solutions　of　a　simplified　Ericksen-Leslie　system　for　compressible　flows　of　nematic　liquid　crystals　in　time　in　a　bounded　three-dimension　domain-arbitrary　forces.　By　adapting　the　arguments　for　the　compressible　Navier-Stokes　equations,　and　carefully　analyzing　the　direction　field　of　liquid　crystals　in　the　equations　of　angular　momentum,　we　show　the　existence　of　bounded　absorbing　sets,　global　bounded　trajectories,　and　global　attractors　to　weak　solutions　of　compressible　flows　of　nematic　liquid　crystals　with　the　adiabatic　constant　γ　＞　5/3.