This is an announcement for the paper "On a complete characterization of a.s.\ convergence of multiple orthogonal series" by Jakub Olejnik. Abstract: We present a relation between convergence of multiple and single orthogonal series. This relation implies a complete characterization of all multiple sequences $(a_{n_1\ldots n_d})_{n_1,\ldots,n_d\in\bb N}$ such that for all orthonormal $(\Phi_{n_1\ldots n_d})$ multiple orthogonal series $\sum_{n_1,\ldots,n_d\in\bb N}a_{n_1\ldots n_d}\Phi_{n_1\ldots n_d}$ are a.s.\ convergent. Archive classification: math.FA math.PR Mathematics Subject Classification: 60G60, 60G17 (MSC2010) Submitted from: jakubo@math.uni.lodz.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1110.3942 or http://arXiv.org/abs/1110.3942