The in-plane resistivity, in-plane absolute thermopower, and upper critical field measurements are reported for single-crystal samples of YNi 2 B 2 C and LuNi 2 B 2 C superconductors. The in-plane resistivity shows metallic behavior and varies approximately linearly with temperature near room temperature ͑RT͒ but shows nearly quadratic behavior in temperature at low temperatures. The YNi 2 B 2 C and LuNi 2 B 2 C single-crystal samples exhibit large transverse magnetoresistance ͑Ϸ6-8 % at 45 kOe͒ in the ab plane. The absolute thermopower S(T) is negative from RT to the superconducting transition temperature T c. Its magnitude at RT is a few times of the value for a typical good metal. S(T) is approximately linear in temperature between Ϸ150 K and RT. Extrapolation to Tϭ0 gives large intercepts ͑few V/K͒ for both samples suggesting the presence of a much larger ''knee'' than would be expected from electron-phonon interaction renormalization effects. The upper critical fields for H parallel and perpendicular to the c axis and the superconducting parameters derived from it do not show any anisotropy for the YNi 2 B 2 C single-crystal samples in agreement with magnetization and torque magnetometry measurements, but a small anisotropy is observed for the LuNi 2 B 2 C single crystals. The analysis shows that these are moderately strong-coupling type-II superconductors ͑similar to the A-15 com-pounds͒ with a value of the electron-phonon coupling parameter ͑0͒ approximately equal to 1.2 for YNi 2 B 2 C and 1.0 for LuNi 2 B 2 C, the Ginzburg-Landau coherence length ͑0͒ approximately equal to 70 Å, and H c2 (0)ϳ60-70 kOe. The temperature dependence of the upper critical field shows a positive curvature near T c in disagreement with the Werthamer, Helfand, Hohenberg, and Maki ͑WHHM͒ theory but in agreement with a recent solution of the Gor'kov equation using a basis formed by Landau levels ͑Bahcall͒; however, the data show a severe disagreement between the observed low-temperature behavior of H c2 (T) and that predicted either by WHHM or Bahcall's expressions. ͓S0163-1829͑97͒06413-8͔