Abstract: A tightening apparatus and a control method for the tightening apparatus are provided. The tightening apparatus includes a mounting main body and a plurality of tightening mechanisms provided on the mounting main body. Each of the tightening mechanisms includes: a tightening actuation module, configured to tighten a fastener into a mounting hole along an axis in a first direction; a visual positioning module, configured to collect image information of the fastener located in the mounting hole, determine positioning information of the fastener based on the image information, and determine second-direction position compensation information and third-direction position compensation information of the tightening actuation module based on the positioning information; a second-direction driving mechanism, configured to drive the tightening actuation module to move in a second direction based; and a third-direction driving mechanism, configured to drive the tightening actuation module to move in a third direction.