who invented suspention system?
Leaf springs have been around since the Early Egyptians, war engineers used leaf springs, to little success, on catapults. The use of leaf springs in catapults was later refined and made to work years later. Springs were not only made of metal, a sturdy tree branch could be used as a spring such as with a bow. Early suspension devices were developed for stagecoaches in early modern Britain. The physical laws of damping were not discovered until the 19th century. Later, suspensions like Di dion, Chapman and Mac Pherson have led to today's fully independent suspensions.
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Truly, suspensions were created the day a bicycle was made.
I assume you mean suspension system. It depends one which one you are talking about. If you have a particular car in mind you should re-ask this question with more information.