Lead halide perovskite based micro- and nano-lasers have been widely studied in the past two years. Due to their long carrier diffusion length and high external quantum efficiency, lead halide perovskites have been considered to have a bright future in optoelectronic devices, especially in the “green gap” wavelength region. However, the quality (Q) factors of perovskite lasers are unspectacular compared to conventional microdisk lasers. The record value of full width at half maximum (FWHM) at the threshold is still around 0.22 nm. Herein we synthesized solution-processed, single-crystalline CH3NH3PbBr3 perovskite microrods and studied their lasing actions. In contrast to entirely pumping a microrod on a substrate, we partially excited the microrods that were hanging in the air. Consequently, single-mode or few-mode laser emissions have been successfully obtained from the whispering-gallery like diamond modes, which are confined by total internal reflection within the transverse plane. Owning to the better light confinement and high crystal quality, the FWHM at the threshold has been significantly improved. The smallest FWHM at the threshold is around 0.1 nm, giving a Q factor over 5000.