Lattice Boltzmann method is one of the most recent approaches among the computational fluid dynamics methods. By the advent of the lattice Boltzmann method, some problems have emerged implicitly, among which, the stability of the method in the simulation of fluid flows with different Raynolds numbers is one of the important ones. In this study, by means of the lid-driven cavity flow, the stability of several Lattice Boltzmann Methods, i.e. Bhatnagar Gross and Krook (BGK), Multi Relaxation Time (MRT), Cascaded Central Moments Space (CCMS), Non-Orthogonal Central Moments Space (NOCMS) and Constant Speed Kinetic Method (CSKM), have been compared. The results show that the BGK method has more limited stability compared with the other methods. On the other hand, in general, the CSMS, CSKM and the NOCMS are more stable than the MRT model. The results also show that choosing the right set of relaxation time factors can enhance the stability and change the stability limits, significantly. In addition, the computational costs of the aforementioned methods are compared. Results show that as a rule of thumb, choosing a more stable method is a better strategy over decreasing the lattice spacings. Keywords Lattice Boltzmann Method, Numerical Stability Comparison, Collision Models, Numerical Study