We use a characterization of quasicomponents by continuous functions to obtain the well known theorem which states that product of quasicomponents Q x , Q y of topological spaces X, Y, respectively, gives quasicomponent in the product space X×Y. If spaces X, Y are locally-compact, paracompact and Haussdorf, then we prove that the space of quasicomponents of the product Q(X×Y) is homeomorphic with the product space Q(X) × Q(Y), so these two spaces have the same topological properties.