The quantum correlation properties and squeezing properties of atomic laser are studied in the system of the binomial states field interacting with Bose-Einstein condensate of two-level atoms, and the amplitude-squared squeezing effects of atomic laser are also discussed. The influence of field parameter and atom parameter on the depth and duration of squeezing are mainly investigated by solving the Heisenberg equation based on the entire quantum theory. The results show that the quantum correlation properties of atomic laser keep invariant in the process of interaction between light and atomic BEC. The two quadrature components of atomic laser evolve periodically with time and can be squeezed. The depth of squeezing is determined by the binomial states field. The duration of squeezing depends on the coupling constant between light field and atoms. The relations and differences are briefly discussed between the squeezing effects and amplitude-squared squeezing effects.