We study the statistical properties in the superpositions of SU(1,1) coherent states ｜ζ，k〉and ｜ζ，k〉. The even SU(1,1) coherent state (｜ζ，1/4〉) and odd SU(1,1) coherent state (｜ζ，3/4〉) correspond to squeezed vacuum state and squeezed one photon number state, respectively. It is shown that the superposed states can exhibit much stronger squeezing and antibunching for the suitable phase of ζ and the relative phase in superposition. We also propose a method of generating such superposed states.