Rolling bearing apparatus

The present invention aims to provide a sensor cover capable of avoiding a pulser ring from being damaged by the sensor cover with excellent positional accuracy relative to the pulser ring or the like. The present invention provides a rolling bearing apparatus having a structure in which an outer peripheral edge of a sensor main body (38) of a sensor cover (37) is folded to bend to an inner side of a bearing and a conical portion (39a) as a fitting portion is formed at a folded to bend portion (39) thereof, a conical portion (40a) as a fitted portion for fitting the fitting portion is formed at an inner peripheral surface (40) of an outer ring (31) and a position in an axial direction of the sensor cover (37) relative to a pulser ring (15) is set to position by fitting the two conical portions.