The universal programmed construction of patterned periodic self-assembled nanostructures is a technical challenge in DNA origami nanotechnology but has numerous potential applications in biotechnology and biomedicine. In order to circumvent the dilemma that traditional DNA origami requires a long unusual single-stranded virus DNA as the scaffold and hundreds or even thousands of short strands as staples, we report a method for constructing periodically-self-folded rolling circle amplification products (RPs). The repeating unit is designed to have 3 intra-unit duplexes (inDP1,2,3) and 2 between-unit duplexes (buDP1,2). Based on the complementary pairing of bases, RPs each can self-fold into a periodic grid-patterned ribbon (GR) without the help of any auxiliary oligonucleotide staple. Moreover, by using only an oligonucleotide bridge strand, the GRs are connected together into the larger and denser planar nano-fence-shaped product (FP), which substantially reduces the number of DNA components compared with DNA origami and eliminates the obstacles in the practical application of DNA nanostructures. More interestingly, the FP-based DNA framework can be easily functionalized to offer spatial addressability for the precise positioning of nanoparticles and guest proteins with high spatial resolution, providing a new avenue for the future application of DNA assembled framework nanostructures in biology, material science, nanomedicine and computer science that often requires the ordered organization of functional moieties with nanometer-level and even molecular-level precision.