Multi-Watt high-power terahertz (THz) frequency quantum cascade lasers are demonstrated, based on a single, epitaxially grown, 24-mu m-thick active region embedded into a surface-plasmon waveguide. The devices emit in pulsed mode at a frequency of similar to 4.4 THz and have a maximum operating temperature of 132 K. The maximum measurable emitted powers from a single facet are similar to 2.4 W at 10 K and similar to 1.8 W at 77 K, with no correction being made for the optical collection efficiency of the apparatus, or absorption by the cryostat polyethylene window.