Carbon clusters, a new type of carbon material, have attracted great attentions in scientific community due to the unique structures and superior performances since its discovery in the 1980s. Carbon clusters have a wide range of categories ranging from single carbon atom in the gas phase to fullerenes, carbon nanotubes, carbon nanocones, graphenes, etc. It is of great significance to study the structures and progress of carbon clusters and solve the mystery of the formation mechanism for exploring new structures and applications of carbon cluster materials. In this paper, we review the structures and progress of carbon clusters and summary the synthesis, characterization and current state of progress of carbon clusters.