The squeezing properties of two-mode SU(1,1) coherent states interacting with Bose-Einstein condensate of V-type three-level atoms are investigated with rotating-wave approximation and Bogoliubov approximation by means of quantum theory . The influences of the coupling constant between light field and atoms, the interaction among atoms in Bose-Einstein condenstate (BEC) and the parameter of light on squeezing properties have been discussed. The results show that two quadrature components can be squeezed periodically, the coupling constant between light field and atoms and the interacting among atoms in BEC also shorten the period of the fluctuations of two quadrature components of light and the light parameter has some influence on the depth of squeezing but has no influence on its period.