Insurance contract is contract of good faith and the contractual parties has the duty of fiduciary to each other, which means the implied covenant of good faith imposes a burden on both parties that neither will do anything to injure the right of the other to receive the benefits of the agreement and each has to provide the cooperation and other necessary behaviors to the other when the later is in the course of implementing the contract. The insured's duty of notice in post loss is one of the ways to achieve the principle of good faith. Upon receiving the notice of loss from the insured, the insurer can handle the related issues in claim procedure in order to fulfill the contractual obligations and prevent from the insurance fraud between the insured and third party. Under the traditional opinion of common law system, timely notice is a condition precedent to coverage and delay in giving the required notice will necessarily result in a loss of coverage. However, the harsh result is against the modern trend in insurance law. The majority opinion among the states in the United States is that in addition to late notice, in order to deny coverage, the insurer has necessarily been prejudiced by it. This paper introduces the development of the contents of duty of notice in the United States, analyzes the related insurance regulations and market practice both in Taiwan and Mainland China, and refers to the regulations and precedents in the United State, so as to contribute solutions towards the amendments of insurance law and recommendations of market practice.