In this paper we report on the fabrication of a non-symmetric double core microstructured fiber made of in-house synthesized silicate glass. The micro-structured fiber uses three rings of holes around two cores separated with a single hole. This fiber has a birefringence of about 10-3 at 1.5 mum and zero dispersion wavelengths at 1.3- 1.5 nm range. For experimental verification of nonlinear properties of the fiber we use a femtosecod Ti:Sapphire oscillator emitting in the range of 750-900 nm in the normal dispersion regime of the pumped fiber. Measurements we performed with excitation of one of the core and readout at the output from both cores separately. Registered spectra show a strong coupling between cores and there is no evident difference between signals for excited or other core. Generated spectrum is flat and relatively narrow, which is a result of pumping in normal region of fiber dispersion as we predicted with simulations.