Abstract: The detection of space gravitational waves is expected to reveal more mysteries of the universe. With the support of the National Key Research and Development Program of China, "Special issue on telescopes for space gravitational wave detection (II)" was organized by the journal Opto-Electronic Engineering. These papers in the special issue introduce the recent major research progress of the designs and analyses, construction and adjustable, and testing and evaluation of telescopes for space gravitational wave detection. They will provide a communication platform for the relevant field scholars and experts, and will actively promote the research process of the space gravitational wave detection project in China.