With the development of science and technology, the invisibility has gradually moved from a simple and plain visual deception trick to a precise and systematic modern technology system. By designing appropriate electromagnetic parameters, the novel electromagnetic wave cloaking technology is able to control the propagation and scattering of electromagnetic wave, thereby reducing the detectability of the cloaked object. The electromagnetic parameters of these novel cloaking devices can be realized by using the artificially designed nanostructures, or by combining the medium that already exists in nature. In this review, according to a detailed introduction of the research progress of novel electromagnetic wave cloaking, we discuss the difficulties and challenges in this field, and give an outlook on the future development.