It is now recognized that left-right asymmetries in both the brain and behavior, which have long been considered unique to the human species, are widespread among vertebrates. Recently, evidence of behavioral lateralization in invertebrates has also begun to appear. Very recent studies have shown population level asymmetry in olfactory behavior and the brain of gregarious insects, and there are also a few examples of asymmetric behavior at the individual level in solitary insects. Currently, the unilateral behavior of insects is an important research field that could contribute to understanding the early origin of unilaterality, and for exploring the evolutionary development of insects. In most insects, behavioral lateralization has been investigated by research on the asymmetry of the left-right antenna. The antennae are an important part of insect sensory system and play a key role in aspects of social behavior, such as host location, host recognition, feeding, searching, mating, breeding, defense and migration, and stabilizing flying velocity. This paper reviews the latest developments in the study of asymmetry in insects, including the Hymenoptera, Diptera, Hemiptera, Blattaria and Orthoptera, both in China and elsewhere. Such research is conducive both to the analysis of convergent evolution in different kinds of insects and the evolutionary divergence of insects at the population and individual levels.