Abstract: A mop wringer and handle stabilizer for a mop bucket fitted with a mop wringer and a bucket handle, which stabilizer includes a bracket mounted on or shaped in the mop wringer and having a lip for receiving and tensioning the bucket handle and stabilizing the mop wringer on the mop bucket. A handle bend is optionally provided in the bucket handle for receiving the mop handle of a mop located in the mop bucket and stabilizing the mop in the mop bucket and a wringer handle adaptor is attached to the mop wringer compression handle and is configured and located to optionally receive and stabilize the mop handle when the mop is located in the mop wringer.