Structurally complex nanocomposites (their fillers have complex shape, which complicates the theoretical analysis of these composites) are considered. Nanotubes of quite complex shape that are very difficult to theoretically describe and analyze are exemplified. Fibrous and particulate composites reinforced with bristled nanofibers and bristled knedel-like nanogranules, respectively, are described and analyzed theoretically. Theoretical approaches to studying nanocomposites with large-scale and small-scale bendings of nanotubes are outlined Keywords: nanocomposite, structurally complex filler, nanotube, nanostructure, bristled nanofibers, large-scale and small-scale bendings of nanotubes Introduction. By nanocomposites of complex internal structure (structurally complex nanocomposites) we will mean nanocomposites with fillers (reinforcements) of complex geometry.By the analysis of a structurally complex nanocomposite we will mean searching for the possibility of quantitative description of its internal structure and setting up a corresponding design model needed to analyze the stress-strain state in the structure of the nanocomposite and to find its effective constants, i.e., to homogenize the nanocomposite.This analysis always involves the following two problems, which, in fact, determine structurally complex composites. One problem arises in describing the properties of reinforcements as individual nano-objects because both nanolevel and microlevel analyses are required in this case, according to the scale specified in [18,19]. Such reinforcements can consist of nanoropes, nanowires, strands of nanotubes, yarns of nanofibers, and other structurally complex formations that cover several sublevels and whose length can sometimes reach the microlevel. At the same time, these formations consist of nanoparticles (nanomolecules) that fall into the right-hand portion of the size range of the nanolevel and interact via interatomic forces. The problem is solved by applying continualization and homogenization successively, as indicated in [18,19,59]. As a result, the properties of each reinforcement (nano-object) are described in the continuum approximation in both the size range of the microlevel and the left-hand portion of the size range of the nanolevel. Note that the first problem should be analyzed for both simple and complex internal structures of nanocomposites.The other problem arises after solving the first problem, i.e., after continuum models for each reinforcement and the matrix (more often, polymer) have been set up. Solving this problem involves quantitative description (using these continuum models) of the shape and relative position of nano-objects and setting up of design models to analyze the stress-strain state in the structure of the nanocomposite and to determine its effective constants. Note that the second problem is more important and difficult-to-solve for structurally complex nanocomposites than for nanocomposites with simple structure. This leads us to the conclusion that in some cases it is pr...