Earlier a three-dimensional model for a new unusual DNA conformation referred to as Slipped Loop Structure (SLS) has been suggested by us (1). The same type of folding could occur with RNA as well which means that one must use the A-form of the double helix rather than the B-one. The present paper discusses the creation of an all-atom stereochemically sound model for SLS-RNA. This calculated model, while possessing the same folding topology as the SLS-DNA, differs dramatically from the SLS-DNA by an overall folding geometry. It also differs radically from the RNA-pseudoknot and can thus be regarded as a new type of an RNA folding.