We introduce the nonlinear spin-coherent state (SCS) via its ladder operato
r formalism and propose a type of nonlinear SCS by the nonlinear time evolu
tion of the SCS. By a new version of spectroscopic squeezing criteria we st
udy the spin squeezing in both the SCS and the nonlinear SCS. The results s
how that the SCS is not squeezed in the x, y and z directions, and the nonl
inear SCS may be squeezed in the x and y directions.