Inflatable structures are highly innovative engineering solutions designed to expand and form large, functional ultra-light structures in space. Among many inflatable structures, the inflatable torus is a key component of communication satellite reflectors. The pressure of enclosed air is the primary factor defining its geometrical shape and reinforcing its stiffness, rigidity, and strength. However, inflatable tori consistently remain at high risk of vibration disturbances due to their extremely low material damping and structural stiffness. Therefore, the modal behaviour of an inflated torus needs to be studied for improved structural stability, integrity, and vibration control. This study employs the finite element method to examine the modal response of an inflatable torus constructed of a membrane. It explores the impact of key parameters, including the overall added mass of air, thickness, internal pressure, and aspect ratio. The findings reveal substantial variation in modal frequencies.