We studied the correction of the quantum tunneling radiation of fermions with spin 1/2 in Kerr anti-de-Sitter black hole.First,the dynamic equation of spin 1/2 fermions was corrected using Lorentz's violation theory.Second,the new expressions of the fermions quantum tunneling rate,the Hawking temperature of the black hole and the entropy of the black hole were obtained according to the corrected fermions dynamic equation.Our results show that Hawking temperature increases with the enhancement of both the coupling strength and the radial component of ether-like field,but is independent of non-radial components of ether-like field.At last,some comments are made on the results of our work.