Under fully flooded and limited lubricant supply, the influence of slider inclination on lubricating film thickness was studied in a slider-on-disc conformal contact. The results show that, under full lubricant supply, film thickness is increased first and then decreased with the increasing of inclination. When the film thickness is high, the convergence ratio at the largest load-carrying capacity is very close to the theoretical value. When the film thickness is low to the submicron dimension, the convergence ratio at the largest load-carrying capacity is much higher than the theoretical value. Under limited lubricant supply, the film thickness is increased first and then remains unchanged with the increasing of speed. The variation of film thickness with inclination is similar to that under full lubricant supply.