Graphitic carbon nitride has been wildly studied as a kind of promising photocatalysts for hydrogen evolution. However, it has a low intrinsic activity. Herein, we designed new periodic structures "cut g-C3N4", and adding the new substituent groups. We employed density functional theory to calculate the charge distribution and catalytic properties of hydrogen evolution on the structures. We got a theoretical view that introducing conjugate substituents can enhance the catalytic performance for hydrogen evolution. Furthermore, it provided a theoretical guidance for the reasonable design of two dimensional nonmetallic photocatalysts, with lower activation barrier of the catalytic reaction. (C) 2017 Elsevier B.V. All rights reserved.