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The problem of two-dimensional (2D) direction of arrival (DOA) estimation for double parallel uniform linear arrays is investigated in this paper.A real-valued DOA estimation algorithm of noncircular (NC) signal is proposed,which combines the Euler transformation and rotational invariance (RI) property between subarrays.In this work,the effective array aperture is doubled by exploiting the noncircularity of signals.The complex arithmetic is converted to real arithmetic via Euler transformation.The main contribution of this work is not only extending the NC-Euler-ESPRIT algorithm from uniform linear array to double parallel uniform linear arrays,but also constructing a new 2D rotational invariance property between subarrays,which is more complex than that in NCEuler-ESPRIT algorithm.The proposed 2D NC-Euler-RI algorithm has much lower computational complexity than 2D NC-ESPRIT algorithm.The proposed algorithm has better angle estimation performance than 2D ESPRIT algorithm and 2D NC-PM algorithm for double parallel uniform linear arrays,and is very close to that of 2D NC-ESPRIT algorithm.The elevation angles and azimuth angles can be obtained with automatically pairing.The proposed algorithm can estimate up to 2(M-1) sources,which is two times that of 2D ESPRIT algorithm.CramerRao bound (CRB) of noncircular signal is derived for the proposed algorithm.Computational complexity comparison is also analyzed.Finally,simulation results are presented to illustrate the effectiveness and usefulness of the proposed algorithm.