The lid-driven cavity is an important fluid mechanical system work for as a benchmark for testing numerical methods and for examining fundamental aspects of incompress- ible flows in confined volumes which are driven by the tangential motion of the bounding wall. A numerical study is provided of lid-Driven cavity flows focusing on the evolution of the flow for high Reynolds number. Spectral analysis and a fluctuation velocity are performed on the numerical data obtained from the Lattice Boltzmann method (LBM) and large-eddy simulation (LES) of the turbulent flow. The analyzed data or signals are picked at two specific points inside the cavity, allowing investigating three drastically different flow regimes over time: laminar, transitional, and turbulent. In comparison with direct numerical simulation, the LBM-LES model not only has a reduced resolution in space but also in time. In this context, the background of LBM is presented and the construction of Navier-Stokes equations from the Boltzmann equation is discussed. The LBM-LES model for solving transition is developed and turbulence modeling is implemented. In the second part, a Fourier transform is chosen to study signals from LBM-LES model, to provide a local analysis of transient turbulent events