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In this paper, a new method is proposed for two-dimensional (2-D) direction-of-arrivals (DOAs) estimation of multiple narrowband coherent signals impinging on an L-shaped sensor arrays structured by two uniform linear arrays (ULAs). The coherency of incident signals is decorrelated through subarray averaging technique, and the null space is obtained through linear operator of the cross-correlation matrix between the received data of two ULAs without eigendecomposition. The elevation angles and the quasi-azimuth angles are firstly decoupled and estimated, and the pair-matching of two groups of angles can be accomplished by using a novel method. Then by investigating the geometrical relationship, the azimuth angles can be obtained. Furthermore the asymptotic mean-square-error (MSE) of the estimated elevation and azimuth angles are derived, and the effectively of the proposed method is verified through numerical examples.