-A type of vortex spin texture with skyrmionic core and a series of circle spin stripes was obtained in thin nanodisk of the chiral magnets with Dzyaloshinskii-Moriya interaction and uniaxial anisotropy by means of micromagnetic approach and Monte Carlo simulation. The size of skyrmionic core can be modulated continuously by controlling the disk size. Moreover, in some certain values of the disk size, this vortex state may be spontaneous ground state even without the help of the external magnetic field and thermal fluctuation. In addition, the uniaxial anisotropy is able to stabilize this vortex spin texture. We anticipate that the present work will inspire further experimental studies for exploring the spin structure.Nanoscale magnetic elements are always a fascinating topic in last two decades motivated by its rich physics and relevance in a variety of miniaturized spintronics device [1]. With the prospect of yielding high symmetry and reproducible spin textures for data storage or other applications, particular attention has been given to high symmetry geometries. This has been demonstrated in nanodisks of the soft magnetic material, in which the magnetic vortex states, characterized by an in-plane curling magnetization around and an out-of-plane magnetization in the core, is very stable as the ground state in a wide range of disk size [2][3][4]. The formation of the vortex states in soft-magnetic nanodisk is due to the competing interactions between the ferromagnetic exchange and magnetostatic coupling. Within this standard model the vortex states are expected to be four-fold degenerate with two possible orientations of the rotation sense of the curling inplane magnetization and polar direction of the perpendicular magnetization in the core [5,6].However, recent experimental observations using fullfield magnetic transmission soft X-ray microscopy confirmed that the vortex state in nanodisks experienced symmetry breaking mainly due to the anti-symmetry DzyaloshinskiiMoriya (DM) interaction [7], which results from the broken inversion symmetry at surfaces or interfaces of thin magnetic films, as well as low-symmetry crystals. This chiral DM interaction was shown to favour non-uniform magnetic structures [8][9][10][11]. Prominently, the nowadays so-called skyrmion, a topologically stable vortex-like spin texture with unconventional spin-electronic phenomena, has been proved to exist in helical magnets with B20 structure [12]. But, in bulk materials, skyrmions only appeared in a tiny pocket in the temperature-magnetic field (T-H) plane. In contrast, stabilized skyrmions are able to survive over a relatively wide range in the T-H plane when the dimensionality of the helimagnet is reduced from its bulk to two dimensional (2D) thin films [13,14]. The occurrence of the highly stabilized skyrmions in thin film inspired the fabrication of 2D homogeneous thickness-controllable skymionic films by evaporation methods, which provides a good basis to engineer nanoscale pattern of helimagnets for miniaturized skyrm...