Abstract:The incompleteness of the frame of discernment is one of the main difficulties confronted in the application of the evidence theory. In this paper, through introducing a newly defined evidence frame which divides the frame of discernment into known and unknown parts, an open frame method to represent and combine evidence under incomplete frame is proposed. This method can distinguish the "incompleteness of frame" from the "conflict of evidence" clearly. It also presents a rational way to assign a BPA to the set of unknown propositions. Therefore such a method avoids the problems confronted by the D-S theory and Smets’s "open world assumption" in dealing with incomplete frame.