The Hamiltonian operator of a system of single-mode light field interacting with Bose-Einstein condensate(BEC) of two-level atoms is suggested within the rotati ng-wave approximation. The influence of the interaction between atoms in the BEC on the quadrature squeezing properties of single-mode squeezed light interactin g with atomic BEC is studied under Bogoliubov approximation. The results show th at the fluctuations of two quadrature components of light evolve periodically in a cosine law and their squeezing properties are determined mainly by the initia l squeeze factor and squeeze direction angle of light, and that the interaction between atoms in BEC changes the amplitude and period of fluctuation of light.