A new method is presented to estimate two-dimensional (2-D) Direction-of-Arrival (DOA) angles of narrowband real-valued signals impinging on a L-shape Arrays(LA). The basic idea of the proposed method is to increase both the effective aperture size and the number of sensors by employing the conjugate invariance property of real-valued signals. Thus, the proposed method can provide a more precise DOA and detect more signals than the Cross-Correlation Matrix Method (CCMM). Numerical simulation results are presented to support the theory.