In this manuscript, we report the89Y NMR measurement as a function of temperature on single phase and pure polycrystalline YCrO3sample to study the magnetism and relaxation times on a microscopic level across the magnetic transition (TN≃ 141 K) from paramagnetic to antiferromagnetic state. The NMR peak width broadens abruptly upon crossingTNdue to the onset of internal magnetic fields, while peakshift slight decreases. A slight increase and subsequent anomalous decrease in the NMR peak intensity is observed on approachingTNfrom 300 K. There is also a significant increase in peak width. The temperature dependence of the89Y NMR spin-lattice relaxation rates 1/T1indicates a phase transition atTNwhich is of magnetic origin due to Cr3+ions, with an anomalously rise of fluctuations belowTN. AboveTN, this spin-lattice relaxation rate can be fitted to a power-law scaling behavior 1/T1∼Twith an exponent factorβ≈ 0.8, indicates low energy spin fluctuations. Moreover, Knight shift and 1/TT1scales linear with the bulk susceptibility which suggests the antiferromagnetic spin fluctuation in the YCrO3system.