Random lasers are a class of devices in which feedback arises from multiple elastic scattering in a highly disordered structure,providing an almost ideal light source for artefact-free imaging due to achievable low spatial coherence.However,for many applications ranging from sensing and spectroscopy to speckle-free imaging,it is essential to have high-radiance sources operating in continuous-wave (CW).In this paper,we demonstrate CW operation of a random laser using an electrically pumped quantum-cascade laser gain medium in which a bi-dimensional (2D) random distribution of air holes is patteed into the top metal waveguide.We obtain a highly collimated vertical emission at ～3 THz,with a 430 GHz bandwidth,device operation up to 110 K,peak (pulsed) power of 21 mW,and CW emission of 1.7 mW.Furthermore,we show that an exteal cavity formed with a movable mirror can be used to tune a random laser,obtaining continuous frequency tuning over 11 GHz.