Bradford ended a run of four games without a win in emphatic fashion.
Midfielder Paul McLaren raced into the box and flicked the ball past Morecambe keeper Barry Roche to put City ahead.
Danny Carlton stabbed Morecambe's best chance wide and they were made to pay when Michael Boulding scored after collecting Barry Conlon's through ball.
Nicky Law fired in from 25 yards before Conlon wrapped up the win from the penalty spot after Danny Adams was adjudged to have handled the ball.
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