We propose a multivariate bias correction (MBC) method to adjust the spatial and/or inter-variable properties of climate simulations, while also accounting for their temporal dependences (e.g., autocorrelations). It consists on a method reordering the ranks of the time series according to their multivariate distance to a reference time series. Results show that temporal correlations are improved while spatial and inter-variable correlations are still satisfactorily corrected.