Dual-objective cognitive diagnostic computerized adaptive testing (CD-CAT), which considers knowledge status and ability simultaneously, has become more and more popular with the theoretical and practical development of CD-CAT. Item selection methods play a key role in CD-CAT. This paper systematically reviews existing item selection methods on traditional and dual-objective CD-CAT, and summarizes the types, characteristics, relations, and performance of these methods. Furthermore, several future research directions were illustrated. First, it is necessary to study item selection strategy with general cognitive models and under complex test conditions. Second, it is important to develop indexes representing items and test characteristic of dual-objective diagnostic testing. Finally, it is meaningful to conduct research on non-parametric item selection methods and practical applications of CD-CAT.