Based on Richards-Wolf vector diffraction integral theory, we investigate the focusing characteristics of Laguerre-Gaussian-distributed cylindrical vector (CV) vortex beams coaxially incident on a 4Pi focusing system. The focusing system is composed of two identical high-numerical-aperture lenses, with diffractive optical elements (DOEs) inserted. The numerical simulation results show that the phase modulation of DOE makes the focal field exhibit a spherical structure, and more optical spheres can be obtained by increasing the number of DOE rings. Applying six-ring DOE, we obtain six optical spheres arranged axially in one row at the spacing of 0.83λ (λ is wavelength) with a full width at half-maximum (FWHM) of 0.42λ after the focusing of the radially polarized beams under the conditions of in-phase incident beams on both sides and the topological charge m=0. The focusing of the azimuthally polarized beams under the same conditions generates a double-row structure with 5 optical spheres in each row and the row spacing of 0.75λ. In such a case, the size and longitudinal spacing are consistent with the radial focusing results. An optical chain can be formed by the focusing of CV beams with a polarization angle of 52°. The optical chain structure can also be obtained by the focusing of CV vortex beams with m=±1. The focal field intensity distribution of the focused CV vortex beams transforms into a dark channel structure when m=2. Furthermore, the focal field can be controlled to move in the longitudinal direction by adjusting the phase difference of the incident beams on both sides of the 4Pi focusing system. The moving distance has a linear relationship with the phase difference, and the moving speed is linearly related to the change rate of the phase difference. These results have potential applications in microparticle trapping and manipulation.