A support structure for a bra includes a two-ply structural support layer having an m-shaped ply of compression fabric, forming left and right openings along a bottom aspect of the m-shaped ply, and a w-shaped ply of compression fabric, forming left and right openings along a top aspect of the w-shaped ply. The m- and w-shaped plies are joined together such that the left and right openings of each ply overlap to form left and right pockets for accommodating at least a portion of a wearer's left and right breasts. The support structure encapsulates and separates the breasts. When joined with straps of a sports bra or top, the two-ply structural support layer provides sling-type support of the breasts. Compressive fabric of the bra or top compresses the breasts to a wearer's chest; thus, a bra or top incorporating the support structure provides three-way support via encapsulation, suspension and compression.