We demonstrate confinement of light in a submicron-diameter silica core by adding a Bragg multilayer cladding. Simulation results show that silica core Bragg fibers with Si/SiO2 multilayer claddings exhibit stronger mode confinement than air cladding silica fiber. The optical properties of Bragg fiber taper can be fine tuned via controlling taper diameter and multilayer structures. In experiment, TE01 mode-shaped spots with full-width at half-maximum (FWHM) of 1.2 μm are observed for the first time to our knowledge in solid-core Bragg fibers. By adjusting the refractive index of high index layer, HE11 mode-shaped spots with FWHM of 0.75 μm are generated by 1.1 μm-core Bragg fiber tapers. The proposed devices will be good candidates as polarization selection and mode conversion devices for nano-optical applications.