This study presents a novel comprehensive human ear electromagnetic transducer model considering cochlear third windows and middle-ear nonlinear tissue properties, i.e., of the tympanic membrane, the tensor tympani, and the annular ligament, to investigate the effect of the floating mass transducer’s design parameters on round-window stimulation in treating otosclerosis. The model's reliability was confirmed by comparing its predictions of stapes velocity and middle ear transfer function with experimental data. The influences of the electromagnetic transducer’s main design parameters, i.e., excitation frequency, electromechanical coupling coefficient, case mass, magnet mass, support stiffness, and coupler layer stiffness, on the cochlear differential pressure in both normal middle ear and otosclerosis were examined. Additionally, the study explored chaotic motion conditions in relation to these design parameters. The results show that the stimulated cochlear differential pressure in otosclerosis is lower than that in the normal middle ear at different excitation frequencies. A higher electromechanical coupling coefficient contributes to the avoidance of chaotic motion, and the output of the transducer is positively correlated with this parameter. Increasing the case mass reduces the transducer’s output, while increasing the magnet mass slightly enhances it. Lowering the support stiffness can improve the transducer’s output and prevent chaotic motion, whereas reducing the coupler layer’s stiffness decreases the transducer’s output in otosclerosis. The results offer insights for optimizing the design of electromagnetic transducers for round-window stimulation.