In this paper, the higher-order squeezing of a single mode light field state ｜ψ>=α｜0>+β｜m>(m>2) is studied. When m is even integral,we find that it exhibits arbitary higher-order squeezing except second order squeezing. But the higher-order squeezing and antibunchinf; do not appear simultaneously- Thus, we come to a conclusion that higher-order squeezing is a new nonclassicl effect of light field which is independent of second order squeezing and antibunching.