Abstract: A study of multivariate geostatistical method is performed in space-time domain. It is included as follow:1) Charactor of regionalized variables in space-time domain. 2) cross-variogram and cross-covariance of multivariate information in space-time domain. 3) Best estimation of regionalized variables by space-time information. 4) Best estimation of spatial components and regionalized factors by space-time information.