Associated with global warming, the Arctic sea ice has been undergoing rapid changes for the three decades, including the decline of sea ice extent and thinning of sea ice thickness. As a result, the snow/sea ice-albedo positive feedback mechanism is becoming more and more important. Currently, a diversity of sea ice albedo parameterizations are used in climate system models and standalone sea ice models, ranging from simple to complex. In this paper, we reviewed previous studies on the evaluations of the snow/ice albedo parameterizations, and discussed some problems of the satellitederived surface albedo for the ice covered ocean. We put forward some ongoing issues related to further developments of the albedo parameterizations as climate warms, including melt ponds and leads. Also, we discussed the potential impacts of the lack of observational data on the development of the albedo parameterization.