Rapid　growth　of　overloaded　traffic　leads　to　bottlenecks　on　inter-domain　links.　There　may　not　be　sufficient　bandwidth　for　end-to-end　transmission　upon　the　arrival　of　transfer　bulk　data　requests.　Storage　can　be　introduced　into　the　forwarding　path　so　that　the　delay　tolerant　data　can　be　temporarily　stored　and　forwarded　when　network　links　become　less　congested.　In　this　paper,　we　study　the　Store-and-Forward　(SnF)　problem　in　a　multi-domain　environment.　We　present　a　routing　scheme　based　on　a　framework　named　TS-MLG　(time-shifted　multilayer　graph)　to　perform　inter-domain　bulk　data　transfer　by　taking　both　spatial　and　temporal　aspects　into　consideration.　With　this　scheme,　the　cross-domain　routing　path　with　storage　and　transmission　information,　can　be　determined　through　conventional　routing　computations.　An　updating　strategy　is　proposed　to　realize　temporal　bandwidth　information　exchange　between　physical　and　logical　layers.　Numerical　simulations　reveal　that　SnF　can　improve　the　inter-domain　bandwidth　utilization　and　optimize　the　network　performance　at　the　practical　cost　of　maintenance　overhead　and　computational　complexity.　©　2019　Global　IT　Research　Institute　(GIRI).