In optical research, the birth of laser has brought unprecedented development to the field of optics. This technology has been fully developed and applied when lasers have been developed and studied for a long time in the field of traditional spectroscopy. In addition, a lot of very important information can be received that cannot be obtained by these classical methods. The purpose of this paper is to study the two-dimensional third-order nonlinear laser spectroscopy of fused heterocyclic derivatives. A new method for third-order nonlinear laser spectroscopy, and in order to judge the accuracy of the method, the cascaded equation of motion method is used for comparison. The experimental results show that the time non-local quantum master equation is a relatively accurate method for solving the time evolution of the density matrix, so the matching method can obtain accurate two-dimensional third-order spectrum when solving the spectrum.