A new Markov Chain Monte Carlo（MUSIC） multi-parameters joint estimator based on Gibbs sampling（Gibbs-MUSIC）is proposed to jointly estimate the frequency

directions and elevations of multiple sources.The method regards the power of MUSIC spectrum function as target distribution up to a constant of proportionality

and uses Gibbs sample

one of the most popular MCMC technique

to sample from it.Theoretical analysis and simulations demonstrate that the new method not only possesses the performance of high-resolution in conventional MUSIC method but also provides a less computation and storage costs than that of conventional MUSIC method under the condition where the number of signal sources is small.