A rotatable locating apparatus including a fixing base, a rotatable rack, a first driving module, a carrier, and a second driving module is provided. The rotatable rack is pivoted on the fixing base through a first rotation axis. The first driving module is coupled to the rotatable rack to drive the rotatable rack rotating with respect to the fixing base along the first rotation axis. The carrier is provided with accommodating slots on an arc surface of the carrier, and the carrier is pivoted on the rotatable rack through a second rotation axis. The second rotation axis passes through a curvature center of the arc surface and is perpendicular to the first rotation axis. The curvature center is located on the first rotation axis. The second driving module is coupled to the carrier to drive the carrier rotating with respect to the rotatable rack along the second rotation axis.