We propose a new algorithm to estimate the 2-D direction of arrival (DOA) of narrowband sources lying in the far field of the array. The algorithm requires no reference signal, which consists of two stage processes. The algorithm of the first stage using the method of ESPRIT acquires data. At the second stage, the method using the space-time DOA matrix method to processing the data. The method transfers the observed data from space domain to 2-D space-time domain by exploiting the cross-correlation of the array outputs. Simulation results show a good improvement in processor performance.