This thesis mainly discusses constraints, in the context of constitutional provisions and constitutional principles, on the draft bills of multiples of punitive damages from the perspective of the Constitution of Taiwan. Based on the requirements of the principle of proportionality, single-digit multipliers are constitutionally admissible for multiples of punitive damages. In addition, pursuant to the principle of double jeopardy, it is advisable to make laws to empower civil courts to reduce the requested amount of punitive damages when it is excessive or when the same perpetrators have been subject to criminal penalties or administrative penalties on the same illegal conduct.