A tapered roller bearing 1 comprises an inner ring 2, an outer ring 3, a
plurality of tapered rollers 4 rollably disposed between the inner and
outer rings, and a cage 5 for holding the tapered rollers at
predetermined circumferential intervals. In this tapered roller bearing,
the roller coefficient {y=(the number of rollers .times.mean roller
diameter)/(.pi..times.PCD)} is greater than 0.94. At least one of the
members, i.e., the outer ring, inner ring, and rolling elements, has a
nitrogen rich layer. The grain size number of austenite crystal grains in
the nitrogen rich layer exceeds number 10.