Radiating twisted beams, orbital angular momentum (OAM) based radar provides a new perspective for present radar techniques. However, estimation methods now used has a demerit of resolution. Thus, we raised multiple signal classification (MUSIC) algorithm to improve resolution ability based on this innovative concept. The echo model based on uniform circular array for MUSIC was first built. In contrast to uncorrelated signals in classical MUSIC algorithm, echo signals from targets are fully coherent with each other. Spatial smoothing technique was subsequently utilised in OAM regime to tackle it. Simulation results showed the super-resolution capacity of MUSIC to detect objectives compared with the traditional fast Fourier transform method.