After an even first with neither goalkeeper under any real pressure, Rotherham got the break two minutes before half-time.
Rotherham nearly broke the deadlock when Ryan Taylor headed just wide from Tom Newey's cross after 27 minutes and two minutes later Adam Le Fondre went close from Taylor's head on.
Crewe came closest after 19 minutes when Byron Moore broke clear on the right and his cross flashed across the face of the goal with no-one to apply the finishing touch.
But with time running out before the break Rotherham grabbed the lead. Crewe cleared the danger from Nicky Law's corner but Marcus Marshall whipped in a second cross from the left and skipper Nick Fenton - still forward for the corner - drilled a low shot past Rhys Taylor from 10 yards out.
Crewe almost grabbed an equaliser nine minutes after the break when only a brilliant tackle by Johnny Mullins denied Ajay Leitch-Smith.
But after 62 minutes Leitch-Smith scored an equaliser that should have been ruled out. Lee Bell threaded a ball through, and although Leitch-Smith was clearly offside he was allowed to go on a fire past a helpless Andy Warrington.
Rotherham got their reward with two more goals in a dramatic last six minutes.
First Le Fondre added his 19th of the season getting to a Ryan Taylor knock down to lift the ball over the keeper and into the net with six minutes remaining.
And four minutes later Ryan Taylor broke clear on the right and lashed an absolutely unstoppable shot past Rhys Taylor.
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Source: DSG