The evolutionary sequences of solar models have been constructed in which mixing length parameter-alpha varies in the outer convective region during the evolution. The calculations were performed by using the anisotropic mixing length theory of Canuto (1990). In the case of weak turbulence the correct luminosity and radius values for the present Sun were obtained for a alpha(x) value equal to 0.6. The total neutrino flux was found as 3.65 SNU. While the depletion of Li-6 was complete, Li-7 was not depleted in significant amount in the Sun. It is possible to obtain sufficient Li-7 depletion with alpha(x) values larger than 1.5. In the evolutionary models with strong turbulence, lithium depletion was found not more significant than that obtained from the weak turbulence models.