In this work, we study the four form-factors f(1)(Q(2)), f(2)(Q(2)), g(1)(Q(2)) and g(2)(Q(2)) of the Sigma -> n in the framework of the light-cone QCD sum rules approach up to twist-6 three valence quark light-cone distribution amplitudes. The f1( 0) is the basic input parameter in extracting the CKM matrix element vertical bar Vus vertical bar from the hyperon decays. The four form-factors f(1)(Q(2)), f(2)(Q(2)), g(1)(Q(2)) and g(2)(Q(2)) at intermediate and large momentum transfers with Q(2) > 3 GeV2 have significant contributions from the end-point ( soft) terms. The numerical values of the four form-factors f(1)(0), f(2)(0), g(1)(0) and g(2)(0) are compatible with the experimental data and theoretical calculations (in magnitude), although the uncertainties are large.