We report the exact nature Qf magnetic ordering in La_l-xCe_xCrO₃ (x=0.2, 0.8, 1.0) nanoparticles (diameter: - 43 nm) using microscopic and macroscopic measurement techniques. The variable temperature neutron diffraction experiments revealed a G-type anti ferromagnetic ordering of Cr³⁺ ions in an orthorhombic perovskite stmcture with magnetic moment oriented along the crystallographic b-axis. A decrease in Neel temperature has been observed with increasing x, which has been assigned to a decrease in the Cr-O-Cr bond angle obtained from the Rietveld refinement analysis of the neutron di ffraction patterns. The observed decrease in lattice parameters with increasing x has been explained in terms lesser ionic radius of Ce³⁺ (1.34Å) ion compared to that of La³⁺ (1.36Å).