The majority of passenger cars have a passive suspension system which includes fixed spring and damping rates. Undoubtedly, this system does not provide the best ride comfort. This paper suggests a simple solution for eliminating discomfort by using a twin-accumulator suspension system which involves modifications to the conventional passive suspension system without neither excessive cost nor complexity. Moreover, The paper provides a theoretical evaluation for the twin-accumulator suspension system suggested, and compares the results obtained to those given by the conventional passive suspension system. As a result the twin accumulator system gives worthwhile improvements when compared to the conventional passive suspension system.