Theoretically, various superlattices (SLs), nanotubes (NTs)  and nanowires (NWs)  can be modeled as having a chosen shape and size cross section  with a finite number spins arranged [1,2].  In comparison with bulk systems, both SLs and NWs  systems show novel magnetic and electronic features.   We consider a hexagonal ferromagnetic  superlattice nanowire   (HFSN) model in which the atomic layers of material a alternate with atomic layers of material b, having exchange constant aJ and b J , respectively. The exchange constant between constituents is J .  Also, the exchange constants between surface spins of the HFSN are   as J , bs J   and s J , respectively.    The Hamiltonian of the system can be written in the form  0H is  external magnetic in the along the HFSN under consideration, and it is assumed to be parallel to the axis z, also  2,1)( iH A i anisotropy field for a ferromagnetic with simple uniaxial anisotropy along the z axis.       A Green function analysis is used to derived the dispersion equation for spin waves  propagating along the HFSN. The results are  illustrated numerically for a particular choice of parameters: ,2.00 ..JJ bs , 5 .0.b a SS . The right figure  shows the spin-wave  branches for the HFSNs, while the left  figure  shows those for the simple NWs formed components a and b. Analysis shows that the number of the spin wave branches in HFSN  are  two times more than simple NW.  So, it it observed ten branches in the HFSN and five  branches in the simple NW. In spite of the fact,  there are seven spins in the intralayer of the nanowires, five dispersion branches arise. Easily, it can be explained  by the set of all symmetry operations.  Spin wave-branches move up with increasing exchange interactions.  When difference of exchange constants as J and a J ( also bsJ and b J )  decrease spin-branches are nearer to each other