The shaft and bush device includes a shaft, a bush having a slit in its axial direction and a pressing member which forces the bush inwardly to contact with the shaft so that the bush and shaft are pressed to each other without any clearance. The shaft and the bush may be a screw shaft and a nut engaging the screw shaft or a pin and a nut engaging the pin.A tilting steering apparatus has this shaft and bush device. Namely the device is used as a pivot pin connecting an upper bracket rotatably holding an upper steering shaft and main bracket fixed to a body of an automobile. The device is also used for an expansion-shrinking device which swings the upper bracket against the main bracket. The expansion-shrinking device has a screw shaft and nut which form the shaft and bush device.