We calculated the electro-optical characteristics of FLTN-LCDs using computer simulation of the dynamic behavior of liquid crystal molecules. Through the numerical calculation, it was clarified that the response time of the FLTN-LCDs is about 3 times faster than that of usual TN-LCDs when the identical cell gap is employed. To improve the other electro-optical characteristics, we determined a twisting angle to be about 60 degrees from the view point of an inherent colorization and a gray scale capability and then optimized the material and design parameters of the FLTN-LCDs for the twisting angle of 60 degrees. Under the optimized conditions, we were able to obtain FLTN-LCDs with a fast response time, a good gray-scale capability, a negligible inherent colorization, a high contrast ratio and a wide viewing angle.