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A joint two-dimensional (2D) direction-of-arrival (DOA) and radial Doppler frequency estimation method for the L-shaped array is proposed in this paper based on the compressive sensing (CS) framework. Revised from the conventional CS-based meth-ods where the joint spatial-temporal parameters are characterized in one large scale matrix, three smaller scale matrices with inde-pendent azimuth, elevation and Doppler frequency are introduced adopting a separable observation model. Afterwards, the estima-tion is achieved by L1-norm minimization and the Bayesian CS algorithm. In addition, under the L-shaped array topology, the azi-muth and elevation are separated yet coupled to the same radial Doppler frequency. Hence, the pair matching problem is solved with the aid of the radial Doppler frequency. Finally, numerical simulations corroborate the feasibility and validity of the proposed algorithm.