© 2016, Science in China Press. All rights reserved. Let G be the fundamental group of the complement of the torus knot of type (m, n). It has a presentation G = <x, y | xm = yn>. We find a geometric description of the character variety X(G) of characters of representations of G into SL(3,ℂ), GL(3,ℂ) and PGL(3,ℂ).