The Hall effect in LuNi2B2C and YNi2B2C borocarbides has been investigated in normal and superconducting mixed states. The Hall resistivity ρxy for both compounds is negative in the normal as well as in the mixed state and has no sign reversal below Tc typical for high-Tc superconductors. In the mixed state the behavior of both systems is quite similar. The scaling relation ρxy ∼ ρ β xx (ρxx is the longitudinal resistivity) was found with β = 2.0 and 2.1 for annealed Luand Y-based compounds, respectively. The scaling exponent β decreases with increasing degree of disorder and can be varied by annealing. This is attributed to a variation of the strength of flux pinning. In the normal state weakly temperature dependent Hall coefficients were observed for both compounds. A distinct nonlinearity in the ρxy dependence on field H was found for LuNi2B2C in the normal state below 40 K, accompanied by a large magnetoresistance (MR) reaching +90% for H = 160 kOe at T = 20 K. At the same time for YNi2B2C only linear ρxy(H) dependences were observed in the normal state with an approximately three times lower MR value. This difference in the normal state behavior of the very similar Lu-and Y-based borocarbides seems to be connected with the difference in the topology of the Fermi surface of these compounds.