Abstract: Given two quasi-periodic cocycles (a_1, A_1) and (a_2, A_2) we can consider the random composition of them according with some probability measure. This procedure defines a new cocycles which is called the random product of the quasi periodic cocycles (a_1, A_1) and (a_2, A_2). The purpose of this lecture is to present results regarding the simplicity and continuity of the Lyapunov spectrum for quasi-periodic cocycles. This is a joint work with (M. Poletti).