In this paper, a systolic array architecture is designed for the parallel implementation of Capon's direction-of-arrival estimation method in array signal processing. The architecture uses the QR decomposition on the data matrix to compute Capon's angular spectrum. The systolic array employs N(N + l)/2 + N processing elements (PEs). The sampling data and the steering vector enter into the systolic array while the angular spectra flow out of the systolic array. The parallel algorithm is simulated by the parallel programming language OCCAM 2 in a single transputer system. The architecture is very efficient with a nigh degree of parallelism.