In this paper the squeezing effect of the quantized single mode light field states |φ=a|m>+β|m+k>(m≥0

k≥1) which consist of Fock states is studied. The condition that second order squeezing and amplitude-squared squeexing exist in the light field is discussed. Independence of amplitude-squared squeezing is studied and it is shown that the amplitude-squared squddzing is a new nonclassical effect which is independent of second order squeezing and antibunching effect.