A bearing assembly for a vehicle wheel with a sensor in which load acting on the bearing assembly and/or a tread surface is accurately detected is provided. The bearing assembly includes rolling elements between outer and inner members, a load detecting device in one of the outer and inner members provided as a stationary member, for detecting load acting on the bearing assembly, a rotation detecting device for detecting the rotation of the other member provided as a rotating member, an averaging circuit for calculating rotational speed of the rotating member from output of the rotation detecting device, determining from the calculated rotational speed a time period required for the rolling elements to revolve a pitch of arrangement thereof and calculating average value of output of the load detecting device during the period, and an estimating circuit for estimating the load from the average value.