A self-orienting caster for pieces of furniture, comprising a pair of wheels, which are supported so that they can rotate about a horizontal axis by a supporting body, which has a cylindrical recess that has a vertical axis and is open upward and axially offset with respect to the horizontal axis, and in which a pivot for the caster is inserted rotatably, the pivot being insertable in a receptacle of the piece of furniture in which the caster is to be fitted, further comprising a through seat formed in the body, a tubular element that is driven through the seat coaxially to the horizontal axis and has two cylindrical tubular portions that lie on opposite sides of the body in order to rotatably support the wheels, devices for the axial and rotational locking of the tubular element in the seat and devices for retaining the wheels on the tubular portions.