Stockport suffered a fifth consecutive Blue Square Bet Premier defeat as they were beaten in their first-ever league meeting with neighbours Hyde.
Two goals from corners in the first 20 minutes secured a comfortable victory.
Hyde went in front on 10 minutes when Adam Griffin's right-wing corner sailed straight into the Stockport net.
The visitors then scored again when, from another Griffin corner on the right, Chris Sedgwick forced the ball home from close range.
Scott Spencer was denied a third when his fierce drive from the left was tipped over by Ian Ormson, but that could not prevent Hyde climbing to 12th in the Blue Square Bet Premier.