An automatic clothes washing appliance of the vertical axis type for a clothes washing operation having a plurality of cycles including wash and spin cycles incorporating a tub, a clothes receiving basket movably supported in the tub, means for distributing fill water to the articles received in the basket, and a drive motor which selectively drives the basket for a wash mode and a spin mode. The control system for the appliance includes an arrangement for detecting the existence of a basket out-of-balance condition in the spin mode and initiates a rebalance operation which includes means to measure the basket rotational speed during the spin mode and means responsive to detection of basket rotational speed being less than a predetermined normal balanced basket rotational speed at a predetermined time in the spin cycle to interrupt the spin cycle and to actuate a rebalance cycle and thereafter to resume the spin cycle.