Vector vortex beams are a class of optical beams with singularities in their space-variant polarization. Vector vortex beam lasers have applications in many areas including imaging and communication, where vertical cavity lasers emitting Gaussian beams have been most widely used so far. Generation of vector vortex beams from vertical cavity lasers has required external control or modulation. Here, by utilizing a polarization-selective sub-wavelength grating as one of the reflectors in a vertical semiconductor microcavity, we design the spin textures of the polariton mode and demonstrate polariton lasing in a single-mode, radially polarized vector vortex beam. Polarization and phase distributions of the emission are characterized by polarization-resolved imaging and interferometry. This way of vector vortex laser beam generation allows ultra-low threshold power, stable single-mode operation, scalability and on-chip integration, all of which are important for applications in imaging and communication.