Roy and Virendra Singh showed that the harmonic oscillator possesses an infinite string of exact shape-preserving coherent wave-packet states n,α having classical motion. In this paper it is shown that the states n,α could be obtained from the coherent state α and it is also shown how a coherent state α could be expanded in the basis of n,α's. Further, the possibility of ''squeezing'' the state n is investigated and the ''generalized squeezed coherent states'' are obtained. The squeezed coherent states for the displaced oscillator are also defined. The physical meaning of squeezing is also pointed out. © 1985 The American Physical Society.