This paper presents a theoretical design of chalcogenide glass based tapered microstructured optical fiber (MOF) to generate high power parabolic pulses (PPs) at the mid-IR wavelength (∼2 μm). We optimize fiber cross-section by the multipole method and studied pulse evolution by well-known symmetrized split-step Fourier Method. Our numerical investigation reveals the possibility of highly efficient PP generation within a very short length (∼19 cm) of this MOF for a Gaussian input pulse of 60 W peak power and full width at half maximum (FWHM) of 3.5 ps. We examined quality of the generated PP by calculating the misfit parameter including the third order dispersion and fiber loss. Further, the effects of variations in input pulse power, pulse width and pulse energy on generated PP were also studied from the point of view of tolerances in fabrication of such a device. © 1995-2012 IEEE.