In this paper, we develop an effective mutual Chern-Simons Landau-Ginzburg MCSLG theory to describe the continuous topological quantum phase transition TQPT. In particular, we consider the TQPT etween a spin-polarized phase a state without topological order and a Z2 topologically ordered state. The TQPT is not induced by spontaneous symmetry breaking. Instead the Z2 topological order is broken down by the condensation of Z2 charged quasiparticles. By generalizing the hierarchy theory of fractional quantum Hall effect to Z2 topological order, we show that the TQPT belongs to the universal class of three-dimensional Ising phase transition. In the end, we applied the MCSLG theory to the toric code model.