Multiferroic composites with ferroelectric and ferromagnetic phases have attracted considerable attention in recent years for studies on mechanical strain mediated magneto-electric (ME) interactions. Core-shell particulate and coaxial fibers of such composites are of interests due to a large surface-to-volume ratio. For practical use such nanocomposites have to be assembled into superstructures. This presentation will focus on DNA-assisted assembly of ferrite and ferroelectric core-shell particulate and bundles of coaxial fibers. The nanocomposites have been further assembled in a magnetic field to form linear arrays and rings. Studies on ME characterization of nanostructures will also be discussed.