It is difficult to express analytically potential mode shapes and free surface mode shapes of sloshing liquid in cylindrical container in microgravity. To discover nonlinear behaviors, generally, potential mode shapes and free surface mode shapes in normal gravity are taken to approximate those in microgravity. The sloshing of liquid in cylindrical container in microgravity is analyzed using mode expanding method. Dimensionless form of nonlinear dynamic equations of the fluid structure coupling system are derived by Lagrange principle and numerically solved. It is found that this coupled system presents resonance in some ranges of parameters of the external excitation. If the system does not resonate, in plane modes and out plane modes behave respectively the same kind stable motion and their types of stable motion change when parameters of the external excitation are different. These types of stable motion contain stillness, periodic motion, quasi periodic motion and chaotic motion.