We demonstrate the possibility of confining light in a submicron silica core by introducing a Bragg multilayer cladding. 1 μm-core Bragg tapers with mode field diameters about 1.1 μm for 850 nm wavelength are successfully fabricated by a sputtering technique combining with tapering method using a traveling burner. Simulation of the mode intensity profiles for both our devices and air cladding silica fibers are made by a beam propagation method. Bragg fiber tapers show stronger confinement than silica glass tapers. The ultra-small core Bragg taper device will be a good candidate as the mode coupler for nano-optical devices.