In order to estimate the azimuth angle and pitch angle of airborne target effectively, a two-dimensional Direction Of Arrival(DOA) estimation method based on sparse representation is presented. Firstly, it is necessary to construct two spatial compound angles containing the azimuth and pitch information of the target; then, one of the spatial composite angles is solved by sparse representation technology, and the other spatial composite angle can be decoupled into one-dimensional DOA estimation problem, which can be solved by matrix operation; finally, the azimuth angle and pitch angle are solved in pairs according to the solved two spatial compound angles. Compared with the existing algorithms, the proposed method is less affected by the number of snapshots, and has good performance under the condition of high signal-to-noise ratio and large angular interval.