In order to solve the issue of two dimensional angles estimation for MIMO radar with L-shaped array, two novel reduced-dimensional Direction Of Arrival (DOA) estimation methods using ESPRIT algorithm are proposed. Firstly, through the reduced-dimensional matrix design and reduced-dimensional transformation, the high dimensional received data can be transformed into a lower dimensional signal space. Then, the signal space can be achieved via the eigen-value decomposition and propagator operator method respectively, and two dimensional spatial angle parameters can be joint estimated using ESPRIT algorithm with automatic pairing. The proposed two methods remove data redundancy of high dimensional received data at the greatest degree without costing the aperture of array and have lower computation complexity. Simulation results verify the correctness of theoretical analysis and the effectiveness of proposed algorithm.