This talk will present a hybrid, multi-material 3D printing process for fabricating laminated polymer nanocomposite structures that have characteristic length-scales in the tens of millimeters range. This manufacturing process is particularly targeted at emerging hierarchical fiber-reinforced soft composite applications, such as 4D printing, biomimetic material design, and embedded sensing, that have highlighted the need to combine 3D printing technologies with the directed deposition of fibrous networks. The printing process combines the conventional inkjet-based printing of UV curable polymers with the directed deposition of either aligned or random nanofiber mats, in between each printed layer. The fibers are first generated using an electrospinning process that produces the roll of fibers. These fibers are then transferred to the part being manufactured using a stamping operation. The pinning/deflection of microcracks by the fiber-mats has been identified to be the underlying mechanism responsible for the improved mechanical properties seen in the laminated structure.