It is an important issue about appeals in the criminal procedure, but it has also been overlooked in this area for a long time. It is an old and deeply-rooted problem about the appellate criminal procedure in our country. Many criticize that its structure and procedures are not clear and simple, not be efficient and speedy. It seems to us that the main reasons are that the prosecution is rough on evidences and the criminal appellate system is complex and not effective. The main purpose of appeal is to correct wrong decisions and clarify the law. The appellate criminal procedure should bring finality to the criminal process, subject to the need to safeguard either side from clear and serious injustice. It should be clear and simple in its structure and procedures; it should be efficient and speedy in its use of judges and other resources in righting injustice and in declaring and applying the law. This research recommends that it is necessary to limit appellants’ grounds of appeal, for instant the conviction was wrong as a material irregularity in the course of the trial, or inappropriate and excessive sentences, or significant mistakes of fact. We consider that the appellate courts should adopt the rule of presumption of innocence in which they declare and develop the criminal law in a principled and more due way, so as to solve the delay manner in appellate cases. Furthermore, it is also important to admit appeals against sentence only, not involve any points of law or as to relevance of facts.