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The equations of stationary compressible flows of active liquid crystals areconsidered in a bounded three-dimensional domain. The system consists of thestationary Navier-Stokes equations coupled with the equation of Q-tensors andthe equation of the active particles. The existence of weak solutions to thestationary problem is established through a two-level approximation scheme,compactness estimates and weak convergence arguments. Novel techniques aredeveloped to overcome the difficulties due to the lower regularity ofstationary solutions, a Moser-type iteration is used to deal with the strongcoupling of active particles and fluids, and some weighted estimates on theenergy functions are achieved so that the weak solutions can be constructed forall values of the adiabatic exponent $\gamma>1$.

Weak solutions to the equations of stationary compressible flows in active liquid crystals