An efficient frequency and 2-D arrival angles is essential in array signal processing. 3-D ESPRIT for joint 2-D angle and carrier frequency estimation offers an efficient way to handle the problem. Automatic pairing of the 3-D estimates is achieved via a marked subspace. This paper exploits multiple invariance matrix pencils from parallel uniform linear array to estimate a set of unknown parameters. For many frequency estimation and directions finding, all diagonal elements of invariance matrix are located on the unit circle in the complex plane. The marked subspace technique makes the set of parameter of each radiating source locate on the circle of the same radius, whereas different sources are located on different radius circle, so that several sources can automatically pair with the marker-radius. Computer simulations are shown to be in close agreement with theoretical analysis