Measuring the magnitude and direction of tissue displacement provides the basis for the assessment of tissue motion or tissue stiffness. Using conventional displacement tracking by ultrasound delay estimation, only one direction of tissue displacement can be estimated reliably. In this paper, we describe a new technique for estimating the complete two-dimensional displacement vector using high-frame-rate ultrasound imaging. We compute the displacement vector using phase delays that can be measured between pairs of elements within an array. By combining multiple element-pair solutions, we find a new robust estimate for the displacement vector. In this paper, we provide experimental proof that this method permits measurement of the displacement vector for isolated scatterers and diffuse scatterers with high (submicrometer) precision, without the need for beam steering. We also show that we can measure the axial and lateral distension of a carotid artery in a transverse view.