Special automated equipment is constructed for ultrasonic velocity measurements at various incidence angles of waves that is necessary for estimation of anisotropy parameters of rocks. As an example on anisotropy study, we perform physical modeling of wave propagation in artificial sample of transversely isotropic (TI) symmetry, which represents a model of fractured rock. The equipment includes hydraulic press for simulation of vertical pressure in the Earth, at a range up to 40 MPa. Computer-controlled positioning system provides precise independent positioning of ultrasonic source and receiver. Using this experimental setup, we acquire P-wave velocity data for plate-stack model formed by acrylic 1 mm thick sheet plates. This setup enables us to perform reliable velocity measurements at the angle interval from 15° to 90° and additional single measurement at 0°. Using measured velocities, we estimate Thomsen's anisotropy parameters ε and δ.