This paper presents a design method for ultrawideband array antenna that possesses both beam scanning capability and full polarization reconfigurability. First, an iterative convex optimization algorithm is applied to find the optimal positions of the array elements, so that the peak sidelobe level of the array pattern can be reduced to a certain level across the entire desired frequency band and scanning angle range. Then, a beam-scannable ultra-wideband array composed of linearly polarized elements is proposed to achieve full polarization reconfiguration by utilizing a sequential rotation and excitation compensation technique. The designed array antenna exhibits a 6:1 bandwidth (2-12 GHz) and a scanning angle of 60° performance and can realize four polarization states, including +45° linear polarization, −45° linear polarization, left-hand circular polarization, and right-hand circular polarization.