A recently developed algorithm called infinite time-evolving block decimation (iTEBD) allows us to calculate the ground state in simulated infinite quantum system through time evolution. With the ground state known, its corresponding energy or magnetization can be measured. From which the phase transition can also be studied. However, the conventional solution for the implementation of iTEBD on two-dimensional lattices fails to retain certain features and requires some improvements. In this thesis we propose a revision of the algorithm based on a two-by-two plaquette to the transverse Ising model on a 2D square lattice. The plqauette iTEBD takes the entanglement inside a plaquette fully into account. The comparison between the plaquette iTEBD and the conventional iTEBD shows that the former gives a better results than the latter with the smallest non-trivial bond dimension D=2.