This paper discusses multi-response robust parameter design problems based on response surface method. Most research effort on multi-response parameter design problem focuses much on finding out optimal parameters based on certain criteria or objectives. Research shows that optimal solution in terms of some criteria may not be robust. To achieve robust solution we should consider how sensitive the solution is when the factors change around it. A comparative study of methods for multi-response robust parameter design is conducted. Solution with consideration of robustness and optimality is proposed with applications of the example.