© 2014, Springer Basel.In a very recent paper by Deng (Z Angew Math Phys 64:1443–1449, 2013), the author claims to have successfully found all the invariant algebraic surfaces of the generalized Lorenz system, (Formula presented.). He provides six invariant algebraic surfaces, found according to the idea of the weight of a polynomial introduced by Swinnerton-Dyer (Math Proc Camb Philos Soc 132:385–393, 2002). Unfortunately, his result is incorrect because a seventh invariant algebraic surface is missed. Moreover, those six invariant algebraic surfaces can be obtained in a much simpler manner: Since the Lorenz system and the generalized Lorenz system are equivalent through a homothetic scaling in time and state variables (for c ? 0), it is trivial to obtain the corresponding results for the generalized Lorenz system from the well-known results on invariant algebraic surfaces of the Lorenz system.